Math @ Duke

Publications [#325481] of M. Ronen Plesser
Papers Published
 Jockers, H; Katz, S; Morrison, DR; Plesser, MR, SU(N) Transitions in MTheory on Calabi–Yau Fourfolds and Background Fluxes,
Communications in Mathematical Physics, vol. 351 no. 2
(April, 2017),
pp. 837871, Springer Nature [doi]
(last updated on 2020/10/20)
Abstract: © 2016, SpringerVerlag Berlin Heidelberg. We study Mtheory on a Calabi–Yau fourfold with a smooth surface S of AN–1 singularities. The resulting threedimensional theory has a N= 2 SU(N) gauge theory sector, which we obtain from a twisted dimensional reduction of a sevendimensional N= 1 SU(N) gauge theory on the surface S. A variant of the Vafa–Witten equations governs the moduli space of the gauge theory, which—for a trivial SU(N) principal bundle over S—admits a Coulomb and a Higgs branch. In Mtheory these two gauge theory branches arise from a resolution and a deformation to smooth Calabi–Yau fourfolds, respectively. We find that the deformed Calabi–Yau fourfold associated to the Higgs branch requires for consistency a nontrivial fourform background flux in Mtheory. The flat directions of the fluxinduced superpotential are in agreement with the gauge theory prediction for the moduli space of the Higgs branch. We illustrate our findings with explicit examples that realize the Coulomb and Higgs phase transition in Calabi–Yau fourfolds embedded in weighted projective spaces. We generalize and enlarge this class of examples to Calabi–Yau fourfolds embedded in toric varieties with an AN–1 singularity in codimension two.


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