A Chiral $SU(N)$ Gauge Theory and its Non-Chiral $Spin(8)$ Dual

TL;DR

This paper explores dualities between supersymmetric $SU(N-4)$ gauge theories with symmetric tensors and $N$ antifundamentals, and non-chiral $Spin(8)$ theories, revealing connections to known dualities and supersymmetric phenomena.

Contribution

It introduces a new duality between supersymmetric $SU(N-4)$ theories and $Spin(8)$ theories, unifying various known dualities and analyzing their flow and singularities.

Findings

Duality flows to $SO(N)$ Seiberg duality.

Recovers Seiberg-Witten singularities with ${ m N}=2$ superpotential.

Connects classical constraints to anomaly equations.

Abstract

We study supersymmetric $SU(N-4)$ gauge theories with a symmetric tensor and $N$ antifundamental representations. The theory with $W=0$ has a dual description in terms of a non-chiral $Spin(8)$ theory with one spinor and $N$ vectors. This duality flows to the $SO(N)$ duality of Seiberg and to a duality proposed by one of us. It also flows to dualities for a number of $Spin(m)$ theories, $m\le 8$. For $N=6$, when an ${\cal N}=2$ SUSY superpotential is added, the singularities of Seiberg and Witten are recovered. For $N\le 6$, a mass for the spinor generates the branches of $SO(8)$ theories found by Intriligator and Seiberg. Other phenomena include a classical constraint mapped to an anomaly equation under duality and an intricate consistency check on the renormalization group flow.