Supersymmetric Gauge Anomaly with General Homotopic Paths

TL;DR

This paper computes gauge anomalies in supersymmetric models using homotopic paths, covering N=1 four-dimensional and (2,0) two-dimensional superspace theories, advancing understanding of supersymmetric gauge anomalies.

Contribution

It introduces a method using minimal homotopy paths to compute gauge anomalies in various superspace models, including new results for (2,0) supersymmetry.

Findings

Derived the gauge anomaly for N=1 supersymmetry in four dimensions.

Extended the anomaly computation to two-dimensional (2,0) models.

Provided a unified approach using homotopic paths for different supersymmetric theories.

Abstract

We use the method of Banerjee, Banerjee and Mitra and minimal homotopy paths to compute the consistent gauge anomaly for several superspace models of SSYM coupled to matter. We review the derivation of the anomaly for N=1 in four dimensions and then discuss the anomaly for two-dimensional models with (2,0) supersymmetry.