Comment on anomaly matching in N=1 supersymmetric QCD

TL;DR

This paper explores a systematic approach to anomaly matching in N=1 supersymmetric QCD, using symmetry breaking sequences and analogy with grand unified theories to clarify anomaly cancellation.

Contribution

It introduces a novel systematic method for anomaly matching in supersymmetric QCD by employing symmetry breaking sequences and GUT-inspired anomaly analysis techniques.

Findings

Systematic analysis of anomaly matching in supersymmetric QCD.

Identification of the role of symmetry breaking sequences in anomaly cancellation.

Clarification of $U^{AF}_{R}(1)^{3}$ anomaly matching complications.

Abstract

An attempt is made at a systematic approach to anomaly matching problem in non-Abelian electric-magnetic duality in N=1 supersymmetric QCD. A strategy we employ is somewhat analogous to anomaly analyses in grand unified models where the anomaly cancellation becomes more transparent if one embeds SU(5) multiplets into a multiplet of (anomaly-free) SO(10). A complication arises in the treatment of $U^{AF}_{R}(1)^{3}$ matching where $U^{AF}_{R}(1)$ is anomaly-free $R$ symmetry. It is noted that a relatively systematic analysis of the anomaly matching is possible if one considers the formal breaking sequence of color gauge symmetry: $SU(N_{f})_{c}\to SU(N_{c})_{c}\times SU(\tilde{N}_{c})_{c}$ with $N_{f}= N_{c}+ \tilde{N}_{c}$, where $N_{f}$ stands for the number of massless quarks.