Chiral Gauge Dynamics: Candidates for Non-Supersymmetric Dualities

TL;DR

This paper investigates the dynamics of chiral SU(N) gauge theories, proposing new dualities and anomaly matching conditions, including extensions to non-supersymmetric cases with various gauge groups and matter representations.

Contribution

It introduces novel constraints on chiral gauge theories in the large N limit and proposes non-supersymmetric dualities extending known supersymmetric results.

Findings

Anomaly matching with free fermions supports duality proposals.

Extension of dualities to non-supersymmetric theories with Spin(8) gauge group.

Constraints from Weingarten inequalities on dualities and matter content.

Abstract

We study the dynamics of chiral SU(N) gauge theories. These contain Weyl fermions in the symmetric or anti-symmetric representation of the gauge group, together with further fermions in the fundamental and anti-fundamental. We revisit an old proposal of Bars and Yankielowicz who match the 't Hooft anomalies of this theory to free fermions. We show that there are novel and, in some cases, quite powerful constraints on the dynamics in the large N limit. In addition, we study these SU(N) theories with an extra Weyl fermion transforming in the adjoint representation. Here we show that all 21 't Hooft anomalies for global symmetries are matched with those of a Spin(8) gauge theory. This suggests a non-supersymmetric extension of the duality of Pouliot and Strassler. Finally, we also discuss some non-supersymmetric dualities with vector-like matter content for SO(N) and Sp(N) gauge theories and the constraints imposed by Weingarten inequalities.