Orientifold, Geometric Transition and Large N Duality for SO/Sp Gauge Theories

TL;DR

This paper extends large N duality to SO/Sp gauge theories with arbitrary superpotentials by orientifolding geometric transitions, linking these theories to Abelian N=2 models with broken supersymmetry.

Contribution

It introduces a novel extension of large N duality to SO/Sp gauge groups through orientifolded geometric transitions, broadening the scope of previous dualities.

Findings

Establishes a duality between SO/Sp theories and Abelian N=2 models.

Shows how Fayet-Iliopoulos terms break supersymmetry from N=2 to N=1.

Generalizes previous dualities to include arbitrary superpotentials.

Abstract

We extend the large N duality of four dimensional N=1 supersymmetric Yang-Mills theory with additional chiral fields and arbitrary superpotential recently proposed by Cachazo, Intriligator and Vafa to the case of SO/Sp gauge groups. By orientifolding the geometric transition, we investigate a large N duality between N=1, SO/Sp supersymmetric theories with arbitrary superpotential and an Abelian N=2 theory with supersymmetry broken to N=1 by electric and magnetic Fayet-Iliopoulos terms.