Duality in Supersymmetric SU(N) Gauge Theory with a Symmetric Tensor

TL;DR

This paper investigates duality in supersymmetric SU(N) gauge theories with symmetric tensors, employing deconfining and Seiberg duality techniques, revealing a flow to SO(N) duality under certain deformations.

Contribution

It introduces a novel approach to analyze duality in SU(N) theories with symmetric tensors, showing the dual gauge group becomes a product group and connecting to SO(N) duality.

Findings

Dual gauge group is necessarily a product group.

Deformation along a flat direction leads to SO(N) duality.

Consistency conditions support the duality proposal.

Abstract

Duality in supersymmetric SU(N) gauge theory with a symmetric tensor is studied using the technique of deconfining and Seiberg's duality. By construction the gauge group of the dual theory necessarily becomes a product group. In order to check the duality, several nontrivial consistency conditions are examined. In particular we find that by deforming along a flat direction, the duality flows to the Seiberg's duality of SO(N) gauge theory.