Duality and Dynamical Supersymmetry Breaking in $Spin(10)$ with a Spinor

TL;DR

This paper explores dual descriptions of $Spin(10)$ supersymmetric gauge theories with a spinor, revealing mechanisms for supersymmetry breaking and establishing new dual pairs.

Contribution

It introduces a duality between $Spin(10)$ theories with a spinor and $SU(N-5)$ theories with a symmetric tensor, uncovering new instances of dynamical supersymmetry breaking.

Findings

$Spin(10)$ with no vectors breaks supersymmetry at strong coupling

New dual pairs of supersymmetric gauge theories are identified

Mechanisms for supersymmetry breaking are elucidated in dual frameworks

Abstract

We study ${\cal N}=1$ supersymmetric $Spin(10)$ chiral gauge theories with a single spinor representation and $N$ vector representations. We present a dual description in terms of an ${\cal N}=1$ supersymmetric $SU(N-5)$ chiral gauge theory with a symmetric tensor, one fundamental and $N$ antifundamental representations. The $Spin(10)$ theory with $N=0$ breaks supersymmetry at strong coupling; we study how this arises at weak coupling in the dual theory, which is a spontaneously broken gauge theory. Also, we recover various known dualities, find new dual pairs and generate new examples of dynamical supersymmetry breaking.