Duality of Chiral N=1 Supersymmetric Gauge Theories via Branes

TL;DR

This paper constructs a chiral N=1 supersymmetric gauge theory using brane configurations and demonstrates its duality by matching anomalies and deformations, advancing understanding of gauge theory dualities in string theory.

Contribution

It introduces a new brane setup for chiral N=1 supersymmetric gauge theories and explicitly derives their duals through linking number arguments.

Findings

Successfully constructs a chiral N=1 gauge theory with specific matter content.

Derives the dual model using brane linking number techniques.

Verifies anomaly matching and deformation correspondence between models.

Abstract

Using a six-orientifold on top of a NS-fivebrane we construct a chiral N=1 supersymmetric gauge theory in four dimensions with gauge group SU(N_c) and matter in the symmetric, antisymmetric and (anti)fundamental representations. Anomaly cancellation is fulfilled by the requirement of a smooth RR 7-form charge distribution and leads us to the introduction of 8 half D-sixbranes ending on the NS-fivebrane. We obtain the dual model from branes by a linking number argument. We check explicitly the 't Hooft anomaly matching conditions and the map between deformations in the original and the dual model.