Geometric Transitions and N=1 Quiver Theories

TL;DR

This paper constructs N=1 supersymmetric gauge theories using D5 branes on specific geometric backgrounds and proposes large N dualities via geometric transitions, providing exact predictions for these theories.

Contribution

It introduces a new class of N=1 theories from D5 branes on A-D-E fibered geometries and proposes their large N duals through geometric transitions.

Findings

Exact predictions for U(N) gauge theories with two adjoint fields.

Construction of N=1 theories on A-D-E fibered threefolds.

Proposal of geometric transitions as large N duals.

Abstract

We construct N=1 supersymmetric theories on worldvolumes of D5 branes wrapped around 2-cycles of threefolds which are A-D-E fibrations over a plane. We propose large N duals as geometric transitions involving blowdowns of two cycles and blowups of three-cycles. This yields exact predictions for a large class of N=1 supersymmetric gauge systems including U(N) gauge theories with two adjoint matter fields deformed by superpotential terms, which arise in A-D-E fibered geometries with non-trivial monodromies.