Dual Description for SUSY SO(N) Gauge Theory with a Symmetric Tensor

TL;DR

This paper investigates an  supersymmetric SO(N) gauge theory with a symmetric tensor, constructing a dual description that reveals an infrared fixed point, supporting the conjecture of a Non-Abelian Coulomb phase at the origin of the moduli space.

Contribution

The paper constructs a dual description of the SO(N) gauge theory with a symmetric tensor using deconfinement, demonstrating the existence of an infrared fixed point for certain N values.

Findings

The theory saturates 't Hooft anomaly matching conditions.

The dual description confirms the presence of an infrared fixed point.

Supports the conjecture of a Non-Abelian Coulomb phase at the origin.

Abstract

We consider \caln=1 supersymmetric SO(N) gauge theory with a symmetric traceless tensor. This theory saturates 't Hooft matching conditions at the origin of the moduli space. This naively suggests a confining phase, but Brodie, Cho, and Intriligator have conjectured that the origin of the moduli space is in a Non-Abelian Coulomb phase. We construct a dual description by the deconfinement method, and also show that the theory indeed has an infrared fixed point for certain values of N. This result supports their argument.