%% Papers Published @article{fds338044, Author = {Bertolini, M and Plesser, MR}, Title = {(0,2) hybrid models}, Journal = {Journal of High Energy Physics}, Volume = {2018}, Number = {9}, Year = {2018}, Month = {September}, url = {http://dx.doi.org/10.1007/JHEP09(2018)067}, Abstract = {© 2018, The Author(s). We introduce a class of (0,2) superconformal field theories based on hybrid geometries, generalizing various known constructions. We develop techniques for the computation of the complete massless spectrum when the theory can be interpreted as determining a perturbative heterotic string compactification. We provide evidence for surprising properties regarding RG flows and IR accidental symmetries in (0,2) hybrid CFTs. We also study the conditions for embedding a hybrid theory in a particular class of gauged linear sigma models. This perspective suggests that our construction generates models which cannot be realized or analyzed by previously known methods.}, Doi = {10.1007/JHEP09(2018)067}, Key = {fds338044} } @article{fds325481, Author = {Jockers, H and Katz, S and Morrison, DR and Plesser, MR}, Title = {SU(N) Transitions in M-Theory on Calabi–Yau Fourfolds and Background Fluxes}, Journal = {Communications in Mathematical Physics}, Volume = {351}, Number = {2}, Pages = {837-871}, Year = {2017}, Month = {April}, url = {http://dx.doi.org/10.1007/s00220-016-2741-5}, Doi = {10.1007/s00220-016-2741-5}, Key = {fds325481} } @article{fds322489, Author = {Aspinwall, PS and Plesser, MR}, Title = {General mirror pairs for gauged linear sigma models}, Journal = {Journal of High Energy Physics}, Volume = {2015}, Number = {11}, Year = {2015}, Month = {November}, url = {http://dx.doi.org/10.1007/JHEP11(2015)029}, Doi = {10.1007/JHEP11(2015)029}, Key = {fds322489} } @article{fds248062, Author = {Morrison, DR and Ronen Plesser and M}, Title = {Special Lagrangian torus fibrations of complete intersection Calabi–Yau manifolds: A geometric conjecture}, Journal = {Nuclear Physics B}, Volume = {898}, Pages = {751-770}, Year = {2015}, Month = {September}, ISSN = {0550-3213}, url = {http://dx.doi.org/10.1016/j.nuclphysb.2015.05.030}, Doi = {10.1016/j.nuclphysb.2015.05.030}, Key = {fds248062} } @article{fds303668, Author = {Bertolini, M and Melnikov, IV and Plesser, MR}, Title = {Hybrid conformal field theories}, Journal = {Journal of High Energy Physics}, Volume = {2014}, Number = {5}, Pages = {043}, Year = {2014}, Month = {May}, url = {http://arxiv.org/abs/1307.7063v1}, Abstract = {We describe a class of (2,2) superconformal field theories obtained by fibering a Landau-Ginzburg orbifold CFT over a compact Kaehler base manifold. While such models are naturally obtained as phases in a gauged linear sigma model, our construction is independent of such an embedding. We discuss the general properties of such theories and present a technique to study the massless spectrum of the associated heterotic compactification. We test the validity of our method by applying it to hybrid phases of linear models and comparing spectra among the phases.}, Doi = {10.1007/JHEP05(2014)043}, Key = {fds303668} } @article{fds225460, Author = {M. Bertolini and I.V. Melnikov and M.Ronen Plesser}, Title = {Massless spectrum for hybrids CFTs}, Booktitle = {Proceedings of String-Math 2013}, Year = {2014}, url = {http://arxiv.org/abs/arXiv:1402.1751}, Abstract = {http://arxiv.org/abs/arXiv:1402.1751}, Key = {fds225460} } @article{fds303669, Author = {Intriligator, K and Jockers, H and Mayr, P and Morrison, DR and Plesser, MR}, Title = {Conifold Transitions in M-theory on Calabi-Yau Fourfolds with Background Fluxes}, Journal = {Adv.Theor.Math.Phys.}, Volume = {17}, Pages = {601-699}, Year = {2012}, Month = {March}, url = {http://arxiv.org/abs/1203.6662v2}, Abstract = {We consider topology changing transitions for M-theory compactifications on Calabi-Yau fourfolds with background G-flux. The local geometry of the transition is generically a genus g curve of conifold singularities, which engineers a 3d gauge theory with four supercharges, near the intersection of Coulomb and Higgs branches. We identify a set of canonical, minimal flux quanta which solve the local quantization condition on G for a given geometry, including new solutions in which the flux is neither of horizontal nor vertical type. A local analysis of the flux superpotential shows that the potential has flat directions for a subset of these fluxes and the topologically different phases can be dynamically connected. For special geometries and background configurations, the local transitions extend to extremal transitions between global fourfold compactifications with flux. By a circle decompactification the M-theory analysis identifies consistent flux configurations in four-dimensional F-theory compactifications and flat directions in the deformation space of branes with bundles.}, Doi = {10.4310/ATMP.2013.v17.n3.a2}, Key = {fds303669} } @article{fds248079, Author = {Aspinwall, PS and Melnikov, IV and Ronen Plesser, M}, Title = {(0,2) Elephants}, Journal = {JHEP}, Volume = {2012}, Number = {1}, Pages = {60}, Year = {2012}, Month = {January}, ISSN = {1126-6708}, url = {http://arxiv.org/pdf/1008.2156v2}, Abstract = {http://arxiv.org/abs/1008.2156}, Doi = {10.1007/JHEP01(2012)060}, Key = {fds248079} } @article{fds318461, Author = {Aspinwall, PS and Melnikov, IV and Plesser, MR}, Title = {(0,2) elephants}, Journal = {Journal of High Energy Physics}, Volume = {2012}, Number = {1}, Year = {2012}, url = {http://dx.doi.org/10.1007/JHEP01(2012)060}, Abstract = {We enumerate massless E6 singlets for (0,2)-compactifications of the heterotic string on a Calabi-Yau threefold with the \standard embedding" in three distinct ways. In the large radius limit of the threefold, these singlets count deformations of the Calabi-Yau together with its tangent bundle. In the \small-radius" limit we apply Landau-Ginzburg methods. In the orbifold limit we use a combination of geometry and free field methods. In general these counts dier. We show how to identify states between these phases and how certain states vanish from the massless spectrum as one deforms the complex structure or Kahler form away from the Gepner point. The appearance of extra singlets for particular values of complex structure is explored in all three pictures, and our results suggest that this does not depend on the Kähler moduli. © SISSA 2012.}, Doi = {10.1007/JHEP01(2012)060}, Key = {fds318461} } @article{fds248072, Author = {Melnikov, IV and Plesser, MR}, Title = {A (0,2) mirror map}, Journal = {Journal of High Energy Physics}, Volume = {2011}, Number = {2}, Pages = {001}, Year = {2011}, ISSN = {1126-6708}, url = {http://arxiv.org/abs/1003.1303v2}, Abstract = {We study the linear sigma model subspace of the moduli space of (0,2) superconformal world-sheet theories obtained by deforming (2,2) theories based on Calabi-Yau hypersurfaces in reflexively plain toric varieties. We describe a set of algebraic coordinates on this subspace, formulate a (0,2) generalization of the monomial-divisor mirror map, and show that the map exchanges principal components of singular loci of the mirror half-twisted theories. In non-reflexively plain examples the proposed map yields a mirror isomorphism between subfamilies of linear sigma models. © SISSA 2011.}, Doi = {10.1007/JHEP02(2011)001}, Key = {fds248072} } @article{fds248073, Author = {Kreuzer, M and McOrist, J and Melnikov, IV and Plesserd, MR}, Title = {(0,2) Deformations of linear sigma models}, Journal = {Journal of High Energy Physics}, Volume = {2011}, Number = {7}, Pages = {044}, Year = {2011}, ISSN = {1126-6708}, url = {http://arxiv.org/abs/1001.2104v2}, Abstract = {We study (0,2) deformations of a (2,2) supersymmetric gauged linear sigma model for a Calabi-Yau hypersurface in a Fano toric variety. In the non-linear sigma model these correspond to some of the holomorphic deformations of the tangent bundle on the hypersurface. Combinatorial formulas are given for the number of these deformations, and we show that these numbers are exchanged by mirror symmetry in a subclass of the models. © SISSA 2011.}, Doi = {10.1007/JHEP07(2011)044}, Key = {fds248073} } @article{fds248078, Author = {Aspinwall, PS and Plesser, MR}, Title = {Decompactifications and massless D-branes in hybrid models}, Journal = {Journal of High Energy Physics}, Volume = {2010}, Number = {7}, Pages = {078}, Year = {2010}, ISSN = {1126-6708}, url = {http://arxiv.org/abs/0909.0252v1}, Abstract = {A method of determining the mass spectrum of BPS D-branes in any phase limit of a gauged linear sigma model is introduced. A ring associated to monodromy is defined and one considers K-theory to be a module over this ring. A simple but interesting class of hybrid models with Landau-Ginzburg fibres over ℙ n are analyzed using special Kähler geometry and D-brane probes. In some cases the hybrid limit is an infinite distance in moduli space and corresponds to a decompactification. In other cases the hybrid limit is at a finite distance and acquires massless D-branes. An example studied appears to correspond to a novel theory of supergravity with an SU(2) gauge symmetry where the gauge and gravitational couplings are necessarily tied to each other. © SISSA 2010.}, Doi = {10.1007/JHEP07(2010)078}, Key = {fds248078} } @article{fds248069, Author = {Melnikov, IV and Plesser, MR}, Title = {A-Model correlators from the Coulomb branch}, Journal = {Journal of High Energy Physics}, Volume = {06}, Number = {2}, Pages = {044-}, Year = {2006}, ISSN = {1029-8479}, url = {http://arxiv.org/abs/hep-th/0507187v1}, Abstract = {We compute the contribution of discrete Coulomb vacua to A-Model correlators in toric Gauged Linear Sigma Models. For models corresponding to a compact variety, this determines the correlators at arbitrary genus. For non-compact examples, our results imply the surprising conclusion that the quantum cohomology relations break down for a subset of the correlators. © SISSA 2006.}, Doi = {10.1088/1126-6708/2006/02/044}, Key = {fds248069} } @article{fds248070, Author = {Melnikov, IV and Plesser, MR}, Title = {The Coulomb branch in gauged linear sigma models}, Journal = {Journal of High Energy Physics}, Volume = {0506}, Number = {6}, Pages = {239-270}, Publisher = {Institute of Physics}, Year = {2005}, ISSN = {1029-8479}, url = {http://arxiv.org/abs/hep-th/0501238v2}, Abstract = {We investigate toric GLSMs as models for tachyon condensation in type II strings on space-time non-supersymmetric orbifold singularities. The A-model correlators in these theories satisfy a set of relations related to the topology of the resolved orbifold. Using these relations we compute the correlators and find a non-trivial chiral ring in the IR, which we interpret as supported on isolated Coulomb vacua of the theory.}, Doi = {10.1088/1126-6708/2005/06/013}, Key = {fds248070} } @article{fds30155, Author = {I.V. Melnikov and M. Plesser and S. Rinke}, Title = {Supersymmetric Boundary Conditions for the N=2 Sigma Model}, Booktitle = {Quantum Theory and Symmetries: Proceedings of the Third International Symposium}, Publisher = {World Scientific}, Editor = {P C Argyres et al}, Year = {2004}, Month = {October}, url = {http://arxiv.org/abs/hep-th/0309223}, Abstract = {http://arxiv.org/abs/hep-th/0309223}, Key = {fds30155} } @article{fds303670, Author = {Morrison, DR and Narayan, K and Plesser, MR}, Title = {Localized tachyons in C^3/Z_N}, Journal = {JHEP}, Volume = {0408}, Number = {08}, Pages = {047}, Year = {2004}, Month = {June}, url = {http://arxiv.org/abs/hep-th/0406039v2}, Abstract = {We study the condensation of localized closed string tachyons in C^3/Z_N nonsupersymmetric noncompact orbifold singularities via renormalization group flows that preserve supersymmetry in the worldsheet conformal field theory and their interrelations with the toric geometry of these orbifolds. We show that for worldsheet supersymmetric tachyons, the endpoint of tachyon condensation generically includes ``geometric'' terminal singularities (orbifolds that do not have any marginal or relevant Kahler blowup modes) as well as singularities in codimension two. Some of the various possible distinct geometric resolutions are related by flip transitions. For Type II theories, we show that the residual singularities that arise under tachyon condensation in various classes of Type II theories also admit a Type II GSO projection. We further show that Type II orbifolds entirely devoid of marginal or relevant blowup modes (Kahler or otherwise) cannot exist, which thus implies that the endpoints of tachyon condensation in Type II theories are always smooth spaces.}, Doi = {10.1088/1126-6708/2004/08/047}, Key = {fds303670} } @article{fds248068, Author = {Morrison, DR and Narayan, K and Plesser, MR}, Title = {Localized tachyons in ℂ^{3}/ℤ_{N}}, Journal = {Journal of High Energy Physics}, Volume = {8}, Number = {8}, Pages = {1263-1303}, Year = {2004}, Abstract = {We study the condensation of localized closed string tachyons in ℂ3/ℤN non-supersymmetric noncompact orbifold singularities via renormalization group flows that preserve supersymmetry in the worldsheet conformal field theory and their interrelations with the toric geometry of these orbifolds. We show that for worldsheet supersymmetric tachyons, the endpoint of tachyon condensation generically includes "geometric" terminal singularities (orbifolds that do not have any marginal or relevant Kähler blowup modes) as well as singularities in codimension two. Some of the various possible distinct geometric resolutions are related by flip transitions. For type-II theories, we show that the residual singularities that arise under tachyon condensation in various classes of type-II theories also admit a type-II GSO projection. We further show that type-II orbifolds entirely devoid of marginal or relevant blowup modes (Kähler or otherwise) cannot exist, which thus implies that the endpoints of tachyon condensation in type-II theories are always smooth spaces. © SISSA/ISAS 2004.}, Key = {fds248068} } @article{fds248071, Author = {Morrison, DR and Narayan, K and Plesser, MR}, Title = {Localized tachyons in ℂ^{3}/ℤ_{N}}, Journal = {Journal of High Energy Physics}, Volume = {8}, Number = {8}, Pages = {1305-1345}, Year = {2004}, Abstract = {We study the condensation of localized closed string tachyons in ℂ3/ℤN non-supersymmetric noncompact orbifold singularities via renormalization group flows that preserve supersymmetry in the worldsheet conformal field theory and their interrelations with the toric geometry of these orbifolds. We show that for worldsheet supersymmetric tachyons, the endpoint of tachyon condensation generically includes "geometric" terminal singularities (orbifolds that do not have any marginal or relevant Kähler blowup modes) as well as singularities in codimension two. Some of the various possible distinct geometric resolutions are related by flip transitions. For type-II theories, we show that the residual singularities that arise under tachyon condensation in various classes of type-II theories also admit a type-II GSO projection. We further show that type-II orbifolds entirely devoid of marginal or relevant blowup modes (Kähler or otherwise) cannot exist, which thus implies that the endpoints of tachyon condensation in type-II theories are always smooth spaces. © SISSA/ISAS 2004.}, Key = {fds248071} } @article{fds248067, Author = {Beasley, CE and Plesser, MR}, Title = {Toric duality is seiberg duality}, Journal = {Journal of High Energy Physics}, Volume = {5}, Number = {12}, Pages = {1-37}, Publisher = {Institute of Physics}, Year = {2001}, Month = {January}, ISSN = {1029-8479}, url = {http://arxiv.org/abs/hep-th/0109053v1}, Abstract = {© 2018 Elsevier B.V., All rights reserved. We study four N = 1 SU(N)6gauge theories, with bi-fundamental chiral matter and a superpotential. In the infrared, these gauge theories all realize the low-energy world-volume description of N coincident D3-branes transverse to the complex cone over a del Pezzo surface dP3which is the blowup of P2at three generic points. Therefore, the four gauge theories are expected to fall into the same universality class — an example of a phenomenon that has been termed “toric duality”. However, little independent evidence has been given that such theories are infrared-equivalent. In fact, we show that the four gauge theories are related by the N = 1 duality of Seiberg, vindicating this expectation. We also study holographic aspects of these gauge theories. In particular we relate the spectrum of chiral operators in the gauge theories to wrapped D3-brane states in the AdS dual description. We finally demonstrate that the other known examples of toric duality are related by N = 1 duality, a fact which we conjecture holds generally.}, Doi = {10.1088/1126-6708/2001/12/001}, Key = {fds248067} } @article{fds248076, Author = {Aspinwall, PS and Plesser, MR}, Title = {D-branes, discrete torsion and the McKay correspondence}, Journal = {Journal of High Energy Physics}, Volume = {5}, Number = {2}, Pages = {XIX-25}, Publisher = {Institute of Physics}, Year = {2001}, ISSN = {1029-8479}, url = {http://arxiv.org/abs/hep-th/0009042v2}, Abstract = {We analyze the D-branes of a type-IIB string theory on an orbifold singularity including the possibility of discrete torsion following the work of Douglas et al. First we prove some general results about the moduli space of a point associated to the "regular representation" of the orbifold group. This includes some analysis of the "wrapped branes" which necessarily appear when the orbifold singularity is not isolated. Next we analyze the stringy homology of the orbifold using the McKay correspondence and the relationship between K-theory and homology. We find that discrete torsion and torsion in this stringy homology are closely-related concepts but that they differ in general. Lastly we question to what extent the D-1 brane may be thought of as being dual to a string.}, Doi = {10.1088/1126-6708/2001/02/009}, Key = {fds248076} } @article{fds248075, Author = {Aspinwall, PS and Plesser, MR}, Title = {Heterotic string corrections from the dual type-II string}, Journal = {Journal of High Energy Physics}, Volume = {4}, Number = {4}, Pages = {XXXIV-21}, Publisher = {Institute of Physics}, Year = {2000}, url = {http://arxiv.org/abs/hep-th/9910248v2}, Abstract = {We introduce a method of using the a dual type-IIA string to compute α′-corrections to the moduli space of heterotic string compactifications. In particular we study the hypermultiplet moduli space of a heterotic string on a K3 surface. One application of this machinery shows that type-IIB strings compactified on a Calabi-Yau space suffer from worldsheet instantons, spacetime instantons and, in addition, "mixed" instantons which in a sense are both worldsheet and spacetime. As another application we look at the hyperkähler limit of the moduli space in which the K3 surface becomes an ALE space. This is a variant of the "geometric engineering" method used for vector multiplet moduli space and should be applicable to a wide range of examples. In particular we reproduce Sen and Witten's result for the heterotic string on an A1 singularity and a trivial bundle and generalize this to a collection of E8 point-like instantons on an ALE space.}, Doi = {10.1088/1126-6708/2000/04/025}, Key = {fds248075} } @article{fds248095, Author = {Beasley, C and Greene, BR and Lazaroiu, CI and Plesser, MR}, Title = {D3-branes on partial resolutions of abelian quotient singularities of Calabi-Yau threefolds}, Journal = {Nuclear Physics B}, Volume = {566}, Number = {3}, Pages = {599-641}, Publisher = {Elsevier}, Year = {2000}, url = {http://arxiv.org/abs/hep-th/9907186}, Abstract = {We investigate field theories on the world-volume of a D3-brane transverse to partial resolutions of a ℤ3 × ℤ3 Calabi-Yau threefold quotient singularity. We deduce the field content and Lagrangian of such theories and present a systematic method for mapping the moment map levels characterizing the partial resolutions of the singularity to the Fayet-Iliopoulos parameters of the D-brane world-volume theory. As opposed to the simpler cases studied before, we find a complex web of partial resolutions and associated field-theoretic Fayet-Iliopoulos deformations. The analysis is performed by toric methods, leading to a structure which can be efficiently described in the language of convex geometry. For the world-volume theory, the analysis of the moduli space has an elegant description in terms of quivers. As a by-product, we present a systematic way of extracting the birational geometry of the classical moduli spaces, thus generalizing previous work on resolution of singularities by D-branes. © 2000 Elsevier Science B.V. All rights reserved.}, Key = {fds248095} } @article{fds248074, Author = {Aspinwall, PS and Plesser, MR}, Title = {T-duality can fail}, Journal = {Journal of High Energy Physics}, Volume = {3}, Number = {8}, Pages = {XI-18}, Publisher = {Institute of Physics}, Year = {1999}, ISSN = {1029-8479}, url = {http://arxiv.org/abs/hep-th/9905036v1}, Abstract = {We show that T-duality can be broken by non-perturbative effects in string coupling. The T-duality in question is that of the 2-torus when the heterotic string is compactified on K3xT2. This case is compared carefully to a situation where T-duality appears to work. A holonomy argument is presented to show that T-dualities (and general U-dualities) should only be expected for large amounts of supersymmetry. This breaking of R ↔ 1/R symmetry raises some interesting questions in string theory which we discuss. Finally we discuss how the classical modular group of a 2-torus appears to be broken too.}, Doi = {10.1088/1126-6708/1999/08/001}, Key = {fds248074} } @article{fds248094, Author = {Morrison, DR and Plesser, MR}, Title = {Non-spherical horizons, I}, Journal = {Advances in Theoretical and Mathematical Physics}, Volume = {3}, Number = {1}, Pages = {1-81}, Year = {1999}, ISSN = {1095-0761}, url = {http://arxiv.org/abs/hep-th/9810201}, Abstract = {We formulate an extension of Maldacena's AdS/CFT conjectures to the case of branes located at singular points in the ambient transverse space. For singularities which occur at finite distance in the moduli space of M or F theory models with spacetimefilling branes, the conjectures identify the worldvolume theory on the p-branes with a compactification of M or IIB theory on AdSp+2 × HD-p-2. We show how the singularity determines the horizon H, and demonstrate the relationship between global symmetries on the worldvolume and gauge symmetries in the AdS model. As a first application, we study some singularities relevant to the D3-branes required in four-dimensional F-theory. For these we are able to explicitly derive the low-energy field theory on the worldvolume and compare its properties to predictions from the dual AdS model. In particular, we examine the baryon spectra of the models and the fate of the Abelian factors in the gauge group.}, Doi = {10.4310/ATMP.1999.v3.n1.a1}, Key = {fds248094} } @booklet{Argyres97, Author = {Argyres, PC and Plesser, MR and Shapere, AD}, Title = {N = 2 moduli spaces and N = 1 dualities for SO(n_{c}) and USp(2n_{c}) super-QCD}, Journal = {Nuclear Physics B}, Volume = {483}, Number = {1-2}, Pages = {172-186}, Year = {1997}, url = {http://arxiv.org/abs/hep-th/9608129v1}, Abstract = {We determine the exact global structure of the moduli space of N = 2 supersymmetric SO(n) and USp(2n) gauge theories with matter hypermultiplets in the fundamental representations, using the non-renormalization theorem for the Higgs branches and the exact solutions for the Coulomb branches. By adding an (N = 2)-breaking mass term for the adjoint chiral field and varying the mass, the N = 2 theories can be made to flow to either an "electric" N = 1 supersymmetric QCD or its N = 1 dual "magnetic" version. We thus obtain a derivation of the N = 1 dualities of Seiberg.}, Doi = {10.1016/S0550-3213(96)00583-4}, Key = {Argyres97} } @booklet{Morrison96, Author = {Morrison, DR and Plesser, MR}, Title = {Towards mirror symmetry as duality for two dimensional abelian gauge theories}, Journal = {Nuclear Physics B Proceedings Supplements}, Volume = {46}, Number = {1-3}, Pages = {177-186}, Year = {1996}, Month = {March}, url = {http://arxiv.org/abs/hep-th/9508107}, Abstract = {Superconformal sigma models with Calabi-Yau target spaces described as complete intersection subvarieties in toric varieties can be obtained as the low-energy limit of certain abelian gauge theories in two dimensions. We formulate mirror symmetry for this class of Calabi-Yau spaces as a duality in the abelian gauge theory, giving the explicit mapping relating the two Lagrangians. The duality relates inequivalent theories which lead to isomorphic theories in the low-energy limit. This formulation suggests that mirror symmetry could be derived using abelian duality. The application of duality in this context is complicated by the presence of nontrivial dynamics and the absence of a global symmetry. We propose a way to overcome these obstacles, leading to a more symmetric Lagrangian. The argument, however, fails to produce a derivation of the conjecture.}, Doi = {10.1016/0920-5632(96)00020-5}, Key = {Morrison96} } @booklet{Argyres96a, Author = {Argyres, PC and Ronen Plesser and M and Seiberg, N and Witten, E}, Title = {New = 2 superconformal field theories in four dimensions}, Journal = {Nuclear Physics B}, Volume = {461}, Number = {1-2}, Pages = {71-84}, Year = {1996}, Month = {February}, url = {http://arxiv.org/abs/hep-th/9511154}, Abstract = {New examples of N = 2 supersymmetric conformal field theories are found as fixed points of SU(2) N = 2 supersymmetric QCD. Relations among the scaling dimensions of their relevant chiral operators, global symmetries, and Higgs branches are understood in terms of the general structure of relevant deformations of non-trivial N = 2 conformal field theories. The spectrum of scaling dimensions found are all those compatible with relevant deformations of a y2 = x3 singular curve.}, Doi = {10.1016/0550-3213(95)00671-0}, Key = {Argyres96a} } @booklet{Katz96, Author = {Katz, S and Morrison, DR and Plesser, MR}, Title = {Enhanced gauge symmetry in type II string theory}, Journal = {Nuclear Physics B}, Volume = {477}, Number = {1}, Pages = {105-140}, Year = {1996}, url = {http://arxiv.org/abs/hep-th/9601108}, Abstract = {We show how enhanced gauge symmetry in type II string theory compactified on a Calabi-Yau threefold arises from singularities in the geometry of the target space. When the target space of the type IIA string acquires a genus g curve C of AN-1 singularities, we find that an SU (N) gauge theory with g adjoint hypermultiplets appears at the singularity. The new massless states correspond to solitons wrapped about the collapsing cycles, and their dynamics is described by a twisted supersymmetric gauge theory on C × R4. We reproduce this result from an analysis of the S-dual D-manifold. We check that the predictions made by this model about the nature of the Higgs branch, the monodromy of period integrals, and the asymptotics of the one-loop topological amplitude are in agreement with geometrical computations. In one of our examples we find that the singularity occurs at strong coupling in the heterotic dual proposed by Kachru and Vafa.}, Doi = {10.1016/0550-3213(96)00331-8}, Key = {Katz96} } @booklet{Argyres96, Author = {Argyres, PC and Plesser, MR and Seiberg, N}, Title = {The moduli space of vacua of N = 2 SUSY QCD and duality in N = 1 SUSY QCD}, Journal = {Nuclear Physics B}, Volume = {471}, Number = {1-2}, Pages = {159-194}, Year = {1996}, url = {http://arxiv.org/abs/hep-th/9603042}, Abstract = {We analyze in detail the moduli space of vacua of N = 2 SUSY QCD with nc colors and nf flavors. The Coulomb branch has submanifolds with non-Abelian gauge symmetry. The massless quarks and gluons at these vacua are smoothly connected to the underlying elementary quarks and gluons. Upon breaking N = 2 by an N = 1 preserving mass term for the adjoint field the theory flows to N = 1 SUSY QCD. Some of the massless quarks and gluons on the moduli space of the N = 2 theory become the magnetic quarks and gluons of the N = 1 theory. In this way we derive the duality m N = 1 SUSY QCD by identifying its crucial building blocks - the magnetic degrees of freedom - using only semiclassical physics and the non-renormalization theorem.}, Key = {Argyres96} } @booklet{Greene95, Author = {Greene, BR and Morrison, DR and Plesser, MR}, Title = {Mirror manifolds in higher dimension}, Journal = {Communications in Mathematical Physics}, Volume = {173}, Number = {3}, Pages = {559-597}, Year = {1995}, Month = {November}, ISSN = {0010-3616}, url = {http://arxiv.org/abs/hep-th/9402119}, Abstract = {We describe mirror manifolds in dimensions different from the familiar case of complex threefolds. We isolate certain simplifying features present only in dimension three, and supply alternative methods that do not rely on these special characteristics and hence can be generalized to other dimensions. Although the moduli spaces for Calabi-Yau d-folds are not "special Kähler manifolds" when d>3, they still have a restricted geometry, and we indicate the new geometrical structures which arise. We formulate and apply procedures which allow for the construction of mirror maps and the calculation of order-by-order instanton corrections to Yukawa couplings. Mathematically, these corrections are expected to correspond to calculating Chern classes of various parameter spaces (Hilbert schemes) for rational curves on Calabi-Yau manifolds. Our mirror-aided calculations agree with those Chern class calculations in the limited number of cases for which the latter can be carried out with current mathematical tools. Finally, we make explicit some striking relations between instanton corrections for various Yukawa couplings, derived from the associativity of the operator product algebra. © 1995 Springer-Verlag.}, Doi = {10.1007/BF02101657}, Key = {Greene95} } @booklet{Argyres95, Author = {Argyres, PC and Plesser, MR and Shapere, AD}, Title = {Coulomb Phase of N=2 Supersymmetric QCD.}, Journal = {Phys Rev Lett}, Volume = {75}, Number = {9}, Pages = {1699-1702}, Year = {1995}, Month = {August}, url = {http://www.ncbi.nlm.nih.gov/pubmed/10060369}, Doi = {10.1103/PhysRevLett.75.1699}, Key = {Argyres95} } @booklet{Morrison95, Author = {Morrison, DR and Plesser, M}, Title = {Summing the instantons: Quantum cohomology and mirror symmetry in toric varieties}, Journal = {Nuclear Physics B}, Volume = {440}, Number = {1-2}, Pages = {279-354}, Year = {1995}, Month = {April}, ISSN = {0550-3213}, url = {http://arxiv.org/abs/hep-th/9412236}, Abstract = {We use the gauged linear sigma model introduced by Witten to calculate instanton expansions for correlation functions in topological sigma models with target space a toric variety V or a Calabi-Yau hypersurface M ⊂ V. In the linear model the instanton moduli spaces are relatively simple objects and the correlators are explicitly computable; moreover, the instantons can be summed, leading to explicit solutions for both kinds of models. In the case of smooth V, our results reproduce and clarify an algebraic solution of the V model due to Batyrev. In addition, we find an algebraic relation determining the solution for M in terms of that for V. Finally, we propose a modification of the linear model which computes instanton expansions about any limiting point in the moduli space. In the smooth case this leads to a (second) algebraic solution of the M model. We use this description to prove some conjectures about mirror symmetry, including the previously conjectured "monomial-divisor mirror map" of Aspinwall, Greene and Morrison. © 1995.}, Doi = {10.1016/0550-3213(95)00061-V}, Key = {Morrison95} } @booklet{Hanany94, Author = {Hanany, A and Oz, Y and Ronen Plesser and M}, Title = {Topological Landau-Ginzburg formulation and integrable structure of two-dimensional string theory}, Journal = {Nuclear Physics B}, Volume = {425}, Number = {1-2}, Pages = {150-172}, Year = {1994}, Month = {August}, url = {http://arxiv.org/abs/hep-th/9401030}, Abstract = {We construct a topological Landau-Ginzburg formulation of the two-dimensional string at the self-dual radius. The model is an analytic continuation of the Ak+1 minimal model to k = -3. We compute the superpotential and calculate tachyon correlators in the Landau-Ginzburg framework. The results are in complete agreement with matrix model calculations. We identify the momentum one tachyon as the puncture operator, non-negative momentum tachyons as primary fields, and negative momentum ones as descendants. The model thus has an infinite number of primary fields, and the topological metric vanishes on the small phase space when restricted to these. We find a parity invariant multi-contact algebra with irreducible contact terms of arbitrarily large number of fields. The formulation of this Landau-Ginzburg description in terms of period integrals coincides with the genus zero WI+∞ identities of two-dimensional string theory. We study the underlying Toda lattice integrable hierarchy in the Lax formulation and find that the Landau-Ginzburg superpotential coincides with a derivative of the Baker-Akhiezer wave function in the dispersionless limit. This establishes a connection between the topological and integrable structures. Guided by this connection we derive relations formally analogous to the string equation.}, Doi = {10.1016/0550-3213(94)90176-7}, Key = {Hanany94} } @article{fds248065, Author = {Dijkgraaf, R and Moore, G and Plesser, R}, Title = {The partition function of two-dimensional string theory}, Journal = {Nuclear Physics B}, Volume = {394}, Number = {2}, Pages = {356-382}, Year = {1993}, ISSN = {0550-3213}, url = {http://dx.doi.org/10.1016/0550-3213(93)90019-L}, Abstract = {We derive a compact and explicit expression for the generating functional of all correlation functions of tachyon operators in two-dimensional string theory. This expression makes manifest relations of the c = 1 system to KP flow nd W1 + ∞ constraints. Moreover we derive a Kontsevich-Penner integral representation of this generating functional. © 1993.}, Doi = {10.1016/0550-3213(93)90019-L}, Key = {fds248065} } @article{fds248081, Author = {Dijkgraaf Gregory and R and Moore, W and Plesser, MR}, Title = {The partition function of 2d string theory}, Journal = {Nuclear Physics B}, Volume = {394}, Pages = {356-382}, Publisher = {Elsevier}, Year = {1993}, url = {http://arxiv.org/abs/hep-th/9208031}, Key = {fds248081} } @article{fds43880, Author = {B.R. Greene and M.R. Plesser}, Title = {Mirror manifolds: a brief review and progress report}, Pages = {0648-0666}, Booktitle = {PASCOS 1991}, Publisher = {World Scientific}, Editor = {P. Nath and S. Reucroft}, Year = {1992}, url = {http://arxiv.org/abs/hep-th/9110014}, Key = {fds43880} } @article{fds248080, Author = {Moore, G and Plesser, R}, Title = {Classical scattering in (1 + 1)-dimensional string theory}, Journal = {Physical Review D}, Volume = {46}, Number = {4}, Pages = {1730-1736}, Year = {1992}, ISSN = {0556-2821}, url = {http://arxiv.org/abs/hep-th/9203060}, Abstract = {We find the general solution to Polchinski's classical scattering equations for (1 + 1)-dimensional string theory. This allows efficient computation of scattering amplitudes in the standard Liouville×c=1 background. Moreover, the solution leads to a mapping from a large class of time-dependent collective field theory backgrounds to corresponding nonlinear σ models. Finally, we derive recursion relations between tachyon amplitudes. These may be summarized by an infinite set of nonlinear partial differential equations for the partition function in an arbitrary time-dependent background. © 1992 The American Physical Society.}, Doi = {10.1103/PhysRevD.46.1730}, Key = {fds248080} } @booklet{Moore92, Author = {Moore, G and Plesser, MR and Ramgoolam, S}, Title = {Exact S-matrix for two-dimensional string theory}, Journal = {Nuclear Physics B}, Volume = {377}, Number = {1-2}, Pages = {143-190}, Year = {1992}, url = {http://arxiv.org/abs/hep-th/9111035}, Abstract = {We formulate simple graphical rules which allow explicit calculation of nonperturbative c = 1 S-matrices. This allows us to investigate the constraint of nonperturbative unitarity, which indeed rules out some theories. Nevertheless, we show that there is an infinite parameter family of nonperturbatively unitary c = 1 S-matrices. We investigate the dependence of the S-matrix on one of these nonperturbative parameters. In particular, we study the analytic structure, background dependence and high-energy behavior of some nonperturbative c = 1 S-matrices. The scattering amplitudes display interesting resonant behavior both at high energies and in the complex energy plane.}, Key = {Moore92} } @booklet{Greene91, Author = {GREENE, BR and PLESSER, MR and RUSJAN, E and WANG, XM}, Title = {GUAGE SYMMETRY-BREAKING IN SUPERCONFORMAL ORBIFOLDS}, Journal = {Modern Physics Letters A}, Volume = {6}, Number = {7}, Pages = {591-603}, Year = {1991}, Month = {March}, ISSN = {0217-7323}, url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1991FE87400008&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=47d3190e77e5a3a53558812f597b0b92}, Doi = {10.1142/S0217732391000610}, Key = {Greene91} } @booklet{Greene90, Author = {Greene, BR and Plesser, MR}, Title = {Duality in Calabi-Yau moduli space}, Journal = {Nuclear Physics B}, Volume = {338}, Number = {1}, Pages = {15-37}, Year = {1990}, Month = {July}, ISSN = {0550-3213}, url = {http://dx.doi.org/10.1016/0550-3213(90)90622-K}, Abstract = {We describe a duality in the moduli space of string vacua which pairs topologically distinct Calabi-Yau manifolds and shows that the yield isomorphic conformal theories. At the level of the geometrical description, this duality interchanges the roles of Kähler and complex structure moduli and thus pairs manifolds whose Euler numbers differ by χ → - χ. Amongst the interesting implications of this duality is the conclusion that by using both manifolds of a "mirror pair" the 273 and 273 couplings can be computed exactly by lowest-order geometrical calculations. © 1980.}, Doi = {10.1016/0550-3213(90)90622-K}, Key = {Greene90} } @booklet{Ginsparg90, Author = {Ginsparg, P and Goulian, M and Plesser, MR and Zinn-Justin, J}, Title = {(p, q) string actions}, Journal = {Nuclear Physics B}, Volume = {342}, Number = {3}, Pages = {539-563}, Year = {1990}, ISSN = {0550-3213}, url = {http://dx.doi.org/10.1016/0550-3213(90)90326-9}, Abstract = {We investigate a recently proposed nonperturbative formulation of two-dimensional quantum gravity coupled to (p,q) minimal conformal matter. The coupled differential equations for the partition function summed over topologies are shown to follow from an action principle. The basic action for a (p,q) model takes the general form S(p,q) = ∫Res[Qp/q+ 1 + Σk = 0Σα = 0q - 2t(k), αQk + (α + 1)/q], where Q is a qth-order differential operator and the t(k), α are sources for operator insertions. We illustrate our results with the explicit examples of the Ising (4,3) and tricritical Ising (5,4) models. The action S(p,q) embodies the essential features of the problem (including the relation to generalized KdV hierarchies) in a most compact form. © 1990.}, Doi = {10.1016/0550-3213(90)90326-9}, Key = {Ginsparg90} } %% Preprints @article{fds248063, Author = {Bertolini, M and Plesser, MR}, Title = {Worldsheet instantons and (0,2) linear models}, Journal = {Journal of High Energy Physics}, Volume = {2015}, Number = {8}, Year = {2015}, Month = {August}, url = {http://arxiv.org/abs/arXiv:1410.4541}, Abstract = {http://arxiv.org/abs/arXiv:1410.4541}, Doi = {10.1007/JHEP08(2015)081}, Key = {fds248063} } @article{fds248064, Author = {Bertolini, M and Melnikov, IV and Plesser, MR}, Title = {Accidents in (0,2) Landau-Ginzburg theories}, Journal = {Journal of High Energy Physics}, Volume = {2014}, Number = {12}, Year = {2014}, Month = {December}, url = {http://arxiv.org/abs/arXiv:1405.4266}, Abstract = {http://arxiv.org/abs/arXiv:1405.4266}, Doi = {10.1007/JHEP12(2014)157}, Key = {fds248064} } @article{fds199563, Author = {P.S. Aspinwall and M. Ronen Plesser}, Title = {Elusive Worldsheet Instantons in Heterotic String Compactifications}, Year = {2011}, Month = {June}, url = {http://arxiv.org/pdf/1106.2998v1}, Abstract = {http://arxiv.org/abs/arXiv:1106.2998}, Key = {fds199563} } @article{fds17599, Author = {K. Narayan and M. Plesser}, Title = {Coarse-graining quivers}, Year = {2003}, Month = {September}, url = {http://arxiv.org/abs/hep-th/0309171}, Abstract = {http://arxiv.org/abs/hep-th/0309171}, Key = {fds17599} }