N=1 and N=2 Geometry from Fluxes

Freddy Cachazo; Cumrun Vafa

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arXiv · hep-th/0206017

N=1 and N=2 Geometry from Fluxes

Freddy Cachazo·Cumrun Vafa

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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.

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BibTeX RIS

Freddy Cachazo, Cumrun Vafa. 2002-06-03. N=1 and N=2 Geometry from Fluxes. https://arxiv.org/abs/hep-th/0206017

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