Dynamics of Simplest Chiral Gauge Theories

TL;DR

This paper investigates the dynamics of the simplest chiral gauge theories, specifically SO(10) with fermions in the spinor representation, using supersymmetric limits and anomaly-mediated supersymmetry breaking as analytical tools.

Contribution

It provides new insights into the phase structure and symmetry breaking patterns of SO(10) chiral gauge theories with varying fermion flavors.

Findings

Theory is gapped for N_f=1,2

Global symmetry breaks to SO(N_f) for N_f ≥ 3

Uses supersymmetric limits as a guide for non-supersymmetric dynamics

Abstract

Arguably, the simplest chiral gauge theories are $\mathrm{SO}(10)$ with $N_f$ fermion fields in the spinor representation {\bf 16}. We study their dynamics using their supersymmetric limits perturbed by an infinitesimal anomaly-mediated supersymmetry breaking as a guide. We predict the theory is gapped for $N_f=1,2$, while the $\mathrm{SU}(N_f)$ global symmetry is broken to $\mathrm{SO}(\mathrm{N}_f)$ for moderately large $N_f \geq 3$.