N=1 and N=2 Geometry from Fluxes

2002/06/03 by Freddy Cachazo, Cumrun Vafa, Cachazo, Freddy +1 · 5 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0206017

27 pages, 1 figure

arxiv created 2002/06/03 · openalex publication_date 2002/06/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

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• Aspects of Supersymmetric Gauge Theory and String Theory
• Topological SL(2) Gauge Theory on Conifold
• N=1 Supersymmetry, Deconstruction, and Bosonic Gauge Theories

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