N=1 and N=2 Geometry from Fluxes

Abstract

We provide a proof of the equivalence of N=1 dynamics obtained by deforming N=2 supersymmetric gauge theories by addition of certain superpotential terms, with that of type IIB superstring on Calabi-Yau threefold geometries with fluxes. In particular we show that minimization of the superpotential involving gaugino fields is equivalent to finding loci where Seiberg-Witten curve has certain factorization property. Moreover, by considering the limit of turning off of the superpotential we obtain the full low energy dynamics of N=2 gauge systems from Calabi-Yau geometries with fluxes.

arXiv comment27 pages, 1 figure

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• Superstrings and Topological Strings at Large N
• The Vacuum Structure and Spectrum of N=2 Supersymmetric SU(N) Gauge Theory
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