`t Hooft Anomaly Matching for QCD

TL;DR

This paper explores non-Abelian gauge theories with dual quarks and baryons that exhibit non-trivial 't Hooft anomaly matching in QCD, suggesting potential non-SUSY dualities but highlighting the limitations of anomaly matching alone.

Contribution

It introduces new theories with anomaly matching for QCD involving specific gauge groups, extending ideas similar to Seiberg duality to non-supersymmetric contexts.

Findings

Identifies theories with anomaly matching involving F±6 dimensional representations.

Shows multiple anomaly matching solutions exist, cautioning against assuming duality.

Highlights limitations of anomaly matching as a sole criterion for duality.

Abstract

I present a set of theories which display non-trivial `t Hooft anomaly matching for QCD with $F$ flavors. The matching theories are non-Abelian gauge theories with "dual" quarks and baryons, rather than the purely confining theories of baryons that `t Hooft originally searched for. The matching gauge groups are required to have an $F\pm 6$ dimensional representation. Such a correspondence is reminiscent of Seiberg's duality for supersymmetric (SUSY) QCD, and these theories are candidates for non-SUSY duality. However anomaly matching by itself is not sufficiently restrictive, and duality for QCD cannot be established at present. At the very least, the existence of multiple anomaly matching solutions should provide a note of caution regarding conjectured non-SUSY dualities.