Math @ Duke
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Books
- P.S. Aspinwall, Tom Bridgeland, Alastair Craw, Micheal Douglas, Mark Gross, Anton Kapustin, Greg Moore, Graeme Segal, Balazs Szendroi, Pelham Wilson, Dirichlet Branes and Mirror Symmetry
(2009), American Mathematical Society
Papers Published
- Aspinwall, PS; Plesser, MR, General mirror pairs for gauged linear sigma models,
Journal of High Energy Physics, vol. 2015 no. 11
(November, 2015),
pp. 1-33, Springer Nature [doi] [abs]
- Aspinwall, PS, Exoflops in two dimensions,
Journal of High Energy Physics, vol. 2015 no. 7
(July, 2015), Springer Nature [arXiv:1412.0612], [doi] [abs]
- Aspinwall, PS; Gaines, B, Rational curves and (0, 2)-deformations,
Journal of Geometry and Physics, vol. 88
(February, 2015),
pp. 1-15, Elsevier BV, ISSN 0393-0440 [arXiv:1404.7802], [doi] [abs]
- Aspinwall, PS, A McKay-like correspondence for (0, 2)-deformations,
Advances in Theoretical and Mathematical Physics, vol. 18 no. 4
(January, 2014),
pp. 761-797, International Press of Boston [1110.2524], [1110.2524v3], [doi] [abs]
- Aspinwall, PS, Some applications of commutative algebra to string theory,
in Commutative Algebra: Expository Papers Dedicated to David Eisenbud on the Occasion of His 65th Birthday
(November, 2013),
pp. 25-56, Springer New York, ISBN 9781461452911 [doi] [abs]
- Addington, N; Aspinwall, PS, Categories of massless D-branes and del Pezzo surfaces,
Journal of High Energy Physics, vol. 2013 no. 7
(August, 2013), Springer Nature [1305.5767v2], [doi] [abs]
- Aspinwall, PS; Morrison, DR, Quivers from Matrix Factorizations,
Communications in Mathematical Physics, vol. 313 no. 3
(August, 2012),
pp. 607-633, Springer Nature, ISSN 0010-3616 [arXiv:1005.1042], [doi] [abs]
- Aspinwall, PS; Melnikov, IV; Ronen Plesser, M, (0,2) elephants,
Journal of High Energy Physics, vol. 2012 no. 1
(February, 2012),
pp. 060, Springer Nature, ISSN 1126-6708 [arXiv:1008.2156], [doi] [abs]
- P.S. Aspinwall and M.R. Plesser, Elusive Worldsheet Instantons in Heterotic String Compactifications,
in Proceedings of Symposia in Pure Mathematics, vol. 85
(2012),
pp. 33-52 [1106.2998]
- Aspinwall, PS; Plesser, MR, Decompactifications and massless D-branes in hybrid models,
Journal of High Energy Physics, vol. 2010 no. 7
(January, 2010),
pp. 078, Springer Nature, ISSN 1126-6708 [arXiv:0909.0252], [doi] [abs]
- Aspinwall, PS, Topological D-branes and commutative algebra,
Communications in Number Theory and Physics, vol. 3 no. 3
(January, 2009),
pp. 445-474, International Press of Boston, ISSN 1931-4523 [hep-th/0703279], [doi] [abs]
- Aspinwall, PS, Landau-Ginzburg to Calabi-Yau dictionary for D-branes,
Journal of Mathematical Physics, vol. 48 no. 8
(September, 2007),
pp. 082304-082304, AIP Publishing, ISSN 0022-2488 [hep-th/0610209], [doi] [abs]
- Aspinwall, PS; Maloney, A; Simons, A, Black hole entropy, marginal stability and mirror symmetry,
Journal of High Energy Physics, vol. 2007 no. 7
(July, 2007),
pp. 034-034, Springer Nature, ISSN 1126-6708 [hep-th/0610033], [doi] [abs]
- P.S. Aspinwall, The Landau-Ginzburg to Calabi-Yau Dictionary for D-Branes,
J.Math.Phys., vol. 48
(2007),
pp. 082304
- Aspinwall, PS; Fidkowski, LM, Superpotentials for quiver gauge theories,
Journal of High Energy Physics, vol. 2006 no. 10
(October, 2006),
pp. 047-047, Springer Nature, ISSN 1029-8479 [hep-th/0506041], [doi] [abs]
- Aspinwall, PS; Katz, S, Computation of superpotentials for D-branes,
Communications in Mathematical Physics, vol. 264 no. 1
(May, 2006),
pp. 227-253, Springer Nature, ISSN 0010-3616 [hep-th/0412209], [doi] [abs]
- P.S. Aspinwall, D-Branes, Pi-Stability and Theta-Stability,
in Snowbird Lectures on String Geometry, Contemporary Mathematics, vol. 401
(2006), AMS [hep-th/0407123]
- Aspinwall, PS; Horja, RP; Karp, RL, Massless D-branes on Calabi-Yau threefolds and monodromy,
Communications in Mathematical Physics, vol. 259 no. 1
(October, 2005),
pp. 45-69, Springer Nature [hep-th/0209161], [doi] [abs]
- Aspinwall, PS; Kallosh, R, Fixing all moduli for M-theory on K3×K3,
Journal of High Energy Physics, vol. 2005 no. 10
(October, 2005),
pp. 1-20, Springer Nature [hep-th/0506014], [0506014v1], [doi] [abs]
- Aspinwall, PS, D-branes on Calabi-Yau manifolds,
in Progress in String Theory, TASI 2003 Lecture Notes
(January, 2005),
pp. 1-152, World Scientific [hep-th/0403166], [doi]
- Aspinwall, PS, The breakdown of topology at small scales,
Journal of High Energy Physics, vol. 8 no. 7
(2004),
pp. 453-463 [hep-th/0312188], [0312188v1], [doi] [abs]
- Aspinwall, PS; Melnikov, IV, D-branes on vanishing del Pezzo surfaces,
Journal of High Energy Physics, vol. 8 no. 12
(2004),
pp. 901-930 [hep-th/0405134], [0405134v2], [doi] [abs]
- Aspinwall, PS, A point's point of view of stringy geometry,
Journal of High Energy Physics, vol. 7 no. 1
(2003),
pp. 17-31 [hep-th/0203111], [0203111v2], [doi] [abs]
- Aspinwall, PS; Karp, RL, Solitons in Seiberg-Witten theory and D-branes in the derived category,
Journal of High Energy Physics, vol. 7 no. 4
(2003),
pp. 1119-1137 [hep-th/0211121], [0211121v1], [doi] [abs]
- Aspinwall, PS; Douglas, MR, D-brane stability and monodromy,
Journal of High Energy Physics, vol. 6 no. 5
(May, 2002),
pp. 739-773, Springer Nature, ISSN 1029-8479 [hep-th/0110071], [doi] [abs]
- Aspinwall, PS, Some navigation rules for D-brane monodromy,
Journal of Mathematical Physics, vol. 42 no. 12
(December, 2001),
pp. 5534-5552, AIP Publishing [hep-th/0102198], [doi] [abs]
- Aspinwall, PS; Lawrence, A, Derived categories and zero-brane stability,
Journal of High Energy Physics, vol. 5 no. 8
(January, 2001),
pp. 1-26, Springer Nature, ISSN 1029-8479 [doi] [abs]
- Aspinwall, PS; Plesser, MR, D-branes, discrete torsion and the McKay correspondence,
Journal of High Energy Physics, vol. 5 no. 2
(2001),
pp. XIX-25, ISSN 1029-8479 [hep-th/0009042], [doi] [abs]
- Aspinwall, PS, A note on the equivalence of Vafa's and Douglas's picture of discrete torsion,
Journal of High Energy Physics, vol. 4 no. 12
(January, 2000),
pp. 029-029, Springer Nature [hep-th/0009045], [doi] [abs]
- Aspinwall, PS; Katz, S; Morrison, DR, Lie groups, Calabi-Yau threefolds, and F-theory,
Advances in Theoretical and Mathematical Physics, vol. 4 no. 1
(January, 2000),
pp. 95-126, ISSN 1095-0761 [hep-th/0002012], [doi] [abs]
- Aspinwall, PS; Plesser, MR, Heterotic string corrections from the dual type-II string,
Journal of High Energy Physics, vol. 4 no. 4
(2000),
pp. XXXIV-21 [hep-th/9910248], [doi] [abs]
- Aspinwall, PS, Compactification, Geometry and Duality: N=2
(December, 1999) [hep-th/0001001], [0001001v2] [abs]
- Aspinwall, PS; Plesser, MR, T-duality can fail,
Journal of High Energy Physics, vol. 3 no. 8
(1999),
pp. XI-18, ISSN 1029-8479 [hep-th/9905036], [doi] [abs]
- Aspinwall, PS; Morrison, DR, Non-simply-connected gauge groups and rational points on elliptic curves,
Journal of High Energy Physics, vol. 1998 no. 7
(January, 1998),
pp. 012-012, Springer Nature, ISSN 1029-8479 [hep-th/9805206], [doi] [abs]
- Aspinwall, PS; Donagi, RY, The heterotic string, The tangent bundle and derived categories,
Advances in Theoretical and Mathematical Physics, vol. 2 no. 5
(January, 1998),
pp. 1041-1074, International Press of Boston, ISSN 1095-0761 [hep-th/9806094], [doi] [abs]
- Aspinwall, PS, Aspects of the hypermultiplet moduli space in string duality,
Journal of High Energy Physics, vol. 2 no. 4
(January, 1998),
pp. 019-019, Springer Nature, ISSN 1029-8479 [hep-th/9802194], [doi] [abs]
- Aspinwall, PS; Morrison, DR, Point-like instantons on K3 orbifolds,
Nuclear Physics B, vol. 503 no. 3
(October, 1997),
pp. 533-564, Elsevier BV [doi] [abs]
- Aspinwall, PS, Point-like instantons and the Spin(32)/ℤ2 heterotic string,
Nuclear Physics B, vol. 496 no. 1-2
(July, 1997),
pp. 149-176 [hep-th/9612108], [doi] [abs]
- Aspinwal, PS; Gross, M, The SO(32) heterotic string on a K3 surface,
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 387 no. 4
(October, 1996),
pp. 735-742, Elsevier BV [9605131v2], [doi] [abs]
- Aspinwall, PS; Gross, M, Heterotic-heterotic string duality and multiple K3 fibrations,
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 382 no. 1-2
(August, 1996),
pp. 81-88, Elsevier BV [doi] [abs]
- Aspinwall, PS; Morrison, DR; Gross, M, Stable singularities in string theory,
Communications in Mathematical Physics, vol. 178 no. 1
(May, 1996),
pp. 115-134, Springer Nature [doi] [abs]
- Aspinwall, PS, Enhanced gauge symmetries and Calabi-Yau threefolds,
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 371 no. 3-4
(March, 1996),
pp. 231-237, Elsevier BV [doi] [abs]
- Aspinwall, PS; Louis, J, On the ubiquity of K3 fibrations in string duality,
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 369 no. 3-4
(February, 1996),
pp. 233-242, Elsevier BV [doi] [abs]
- Aspinwall, PS, An N = 2 dual pair and a phase transition,
Nuclear Physics B, vol. 460 no. 1
(January, 1996),
pp. 57-76, Elsevier BV [doi] [abs]
- Aspinwall, PS, Some relationships between dualities in string theory,
Nuclear Physics B - Proceedings Supplements, vol. 46 no. 1-3
(January, 1996),
pp. 30-38, Elsevier BV [doi] [abs]
- Aspinwall, PS, Enhanced gauge symmetries and K3 surfaces,
Physics Letters B, vol. 357 no. 3
(September, 1995),
pp. 329-334, Elsevier BV, ISSN 0370-2693 [doi] [abs]
- Aspinwall, PS; Morrison, DR, U-duality and integral structures,
Physics Letters B, vol. 355 no. 1-2
(July, 1995),
pp. 141-149, Elsevier BV, ISSN 0370-2693 [doi] [abs]
- Aspinwall, PS; Greene, BR, On the geometric interpretation of N = 2 superconformal theories,
Nuclear Physics, Section B, vol. 437 no. 1
(March, 1995),
pp. 205-227, Elsevier BV, ISSN 0550-3213 [doi] [abs]
- Aspinwall, PS, Minimum distances in non-trivial string target spaces,
Nuclear Physics, Section B, vol. 431 no. 1-2
(December, 1994),
pp. 78-96, Elsevier BV [doi] [abs]
- Aspinwall, PS; Morrison, DR, Chiral rings do not suffice: N=(2,2) theories with nonzero fundamental group,
Physics Letters B, vol. 334 no. 1-2
(August, 1994),
pp. 79-86, Elsevier BV, ISSN 0370-2693 [doi] [abs]
- Aspinwall, PS; Greene, BR; Morrison, DR, Measuring small distances in N = 2 sigma models,
Nuclear Physics, Section B, vol. 420 no. 1-2
(May, 1994),
pp. 184-242, Elsevier BV, ISSN 0550-3213 [doi] [abs]
- Aspinwall, PS; Greene, BR; Morrison, DR, Calabi-Yau moduli space, mirror manifolds and spacetime topology change in string theory,
Nuclear Physics, Section B, vol. 416 no. 2
(March, 1994),
pp. 414-480, Elsevier BV [doi] [abs]
- Aspinwall, PS; Greene, BR; Morrison, DR, Space-time topology change and stringy geometry a,
Journal of Mathematical Physics, vol. 35 no. 10
(January, 1994),
pp. 5321-5337, AIP Publishing, ISSN 0022-2488 [doi] [abs]
- ASPINWALL, PS; GREENE, BR; MORRISON, DR, THE MONOMIAL-DIVISOR MIRROR MAP,
DUKE MATHEMATICAL JOURNAL, vol. 72 no. 3
(December, 1993),
pp. 319-337, DUKE UNIV PRESS [9309007v1] [abs]
- Aspinwall, PS; Greene, BR; Morrison, DR, Multiple mirror manifolds and topology change in string theory,
Physics Letters B, vol. 303 no. 3-4
(April, 1993),
pp. 249-259, Elsevier BV, ISSN 0370-2693 [doi] [abs]
- Aspinwall, PS; Morrison, DR; Greene, BR, The monomial-divisor mirror map,
International Mathematics Research Notices, vol. 1993 no. 12
(January, 1993),
pp. 319-337 [doi]
- Aspinwall, PS; Morrison, DR, Topological field theory and rational curves,
Communications in Mathematical Physics, vol. 151 no. 2
(January, 1993),
pp. 245-262, Springer Nature, ISSN 0010-3616 [doi] [abs]
- Aspinwall, PS; Lütken, CA, Quantum algebraic geometry of superstring compactifications,
Nuclear Physics, Section B, vol. 355 no. 2
(May, 1991),
pp. 482-510, Elsevier BV, ISSN 0550-3213 [doi] [abs]
- Aspinwall, PS; Lütken, CA, Geometry of mirror manifolds,
Nuclear Physics, Section B, vol. 353 no. 2
(April, 1991),
pp. 427-461, Elsevier BV [doi] [abs]
- Aspinwall, PS; Lütken, CA; Ross, GG, Construction and couplings of mirror manifolds,
Physics Letters B, vol. 241 no. 3
(May, 1990),
pp. 373-380, Elsevier BV [doi] [abs]
- Aspinwall, P, (2, 2)-Superconformal field theories near orbifold points,
Communications in Mathematical Physics, vol. 128 no. 3
(March, 1990),
pp. 593-611, Springer Nature, ISSN 0010-3616 [doi] [abs]
- Aspinwall, PS; Greene, BR; Kirklin, KH; Miron, PJ, Searching for three-generation Calabi-Yau manifolds,
Nuclear Physics, Section B, vol. 294 no. C
(January, 1987),
pp. 193-222, ISSN 0550-3213 [doi] [abs]
- Paul S. Aspinwall and Albion Lawrence, Derived Categories and 0-Brane Stability,
J. High Energy Phys. 08 (2001) 004
[hep-th/0104147]
- Paul S Aspinwall, String Theory and Duality,
Doc. Math. J. DMV Extra Volume ICM II (1998) 229-238.
[math.AG/9809004]
- Paul S Aspinwall, K3 Surfaces and String Duality,
in C. Esthimiou and B. Greene, editors, "Fields, Strings and Duality, TASI 1996", pages 421-540, World Scientific, 1997.
[hep-th/9611137]
- Paul S Aspinwall, M-Theory Versus F-Theory Pictures of the Heterotic String,
Adv. Theo. Math. Phys. 1 (1997) 127-147, hep-th/9707014.
- Paul S Aspinwall, D.R. Morrison, String Theory on K3 Surfaces,
in B. Greene and S.T. Yau, editors, "Mirror Symmetry II", pages 703-716, International Press, 1996, hep-th/9404151.
- Paul S Aspinwall, Resolution of Orbifold Singularities in String Theory,
in B. Greene and S.T. Yau, editors, "Mirror Symmetry II", pages 355-426, International Press, 1996, hep-th/9403123.
- Paul S Aspinwall, B.R. Greene, D.R. Morrison, Spacetime Topology Change: The Physics of Calabi-Yau Moduli Space,
in M.B. Halpern et al., editors, "Strings '93", pages 241-262, World Scientific, 1995, hep-th/9311186.
- Paul S Aspinwall, The Moduli Space of N = 2 Superconformal Field Theories,
in E. Gava et al., editors, "1994 Summer School in High Engergy Physics and Cosmology" pages 352-401, World Scientific, 1995, hep-th/9412115.
Preprints
- P.S. Aspinwall, Probing Geometry with Stability Conditions
(May, 2009) [arXiv:0905.3137]
- P.S. Aspinwall, D-Branes on Toric Calabi-Yau Varieties
(2008) [arXiv:0806.2612]
- P.S. Aspinwall, An Analysis of Fluxes by Duality
(2005) [hep-th/0504036]
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ph: 919.660.2800
fax: 919.660.2821
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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
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