Fluxes, Tadpoles and Holography for N=1 Super Yang Mills

TL;DR

This paper explores the nonperturbative superpotentials in N=1 super Yang Mills using large N dualities, relating open and closed string sectors, fluxes, and geometric warping effects.

Contribution

It establishes a detailed connection between dilaton tadpoles, NSNS fluxes, and geometric warping in the context of large N dualities for N=1 super Yang Mills.

Findings

Relation between dilaton tadpole and NSNS fluxes on the resolved conifold

Derivation of N supersymmetric vacua with G3 flux

Link between dilaton tadpole and geometric warping from flux backreaction

Abstract

We study non perturbative superpotentials for N=1 super Yang Mills from the point of view of large $N$ dualities. Starting with open topological strings we work out the relation between the closed string sector dilaton tadpole, which appears in the annulus amplitude, and NSNS fluxes in the closed string dual on the resolved conifold. For the mirror closed string dual version on the deformed conifold we derive, for a non vanishing $G_{3}$ form, the $N$ supersymmetric vacua and the transformations of $G_{3}$ through domain walls. Finally, as an extension of Fischler Susskind mechanism we find a direct relation between the dilaton tadpole and the geometric warping factors induced by the gravitational backreaction of NSNS fluxes.