More Exact Results on Chiral Gauge Theories: the Case of the Symmetric Tensor

TL;DR

This paper investigates the dynamics of specific chiral gauge theories with symmetric tensor fermions, revealing new symmetry breaking patterns and fixed points for different N values, refining previous conjectures.

Contribution

It provides more precise results on the symmetry breaking and IR behavior of these theories, especially for N ≥ 17, challenging earlier assumptions.

Findings

Global symmetry breaks to SO(N) for N ≥ 17

Theories flow to IR fixed points for N < 17

Refines previous conjectures on chiral gauge dynamics

Abstract

We study dynanics of $SU(N-4)$ gauge theories with fermions in rank-2 symmetric tensor and $N$ anti-fundamental representations, by perturbing supersymmetric theories with anomaly-mediated supersymmetry breaking. We find the $SU(N)\times U(1)$ global symmetry is dynamically broken to $SO(N)$ for $N\geq 17$, a different result from conjectures in the literature. For $N<17$, theories flow to infrared fixed points.