Elliptic Fibrations and Elliptic Models

2002/03/28 by Amy E. Ksir, Stephen G. Naculich
Physics and Astronomy · Mathematics · #hep-th #math.AG

paper · pdf

published as Contemp.Math. 324 (2003) 155-164 · LaTex2e, 9 pages, 4 eps figures

arxiv created 2002/03/28 · arxiv updated 2009/11/30

Abstract

We study the Seiberg-Witten curves for N=2 SUSY gauge theories arising from type IIA string configurations with two orientifold sixplanes. Such theories lift to elliptic models in M-theory. We express the M-theory background for these models as a nontrivial elliptic fibration over C. We discuss singularities of this surface, and write the Seiberg-Witten curve for several theories as a subvariety of this surface.

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