Wess-Zumino Terms in Supersymmetric Gauge Theories

TL;DR

This paper constructs the Wess-Zumino term for supersymmetric QCD, demonstrating its role in reproducing anomalous Ward identities and analyzing the absence of skyrmion solutions due to baryon flat directions.

Contribution

It provides a explicit construction of the Wess-Zumino term in supersymmetric QCD and discusses its implications for topological solutions and generalizations to other theories.

Findings

Wess-Zumino term correctly reproduces anomalous Ward identities

Supersymmetric QCD lacks topologically stable skyrmions due to baryon flat directions

Results extend to other supersymmetric theories with quantum modified constraints

Abstract

The Wess-Zumino term is constructed for supersymmetric QCD with two colors and flavors, and is shown to correctly reproduce the anomalous Ward identities. Supersymmetric QCD is also shown not to have topologically stable skyrmion solutions because of baryon flat directions, which allow them to unwind. The generalization of these results to other supersymmetric theories with quantum modified constraints is discussed.