Holomorphy, Minimal Homotopy and the 4D, N = 1 Supersymmetric Bardeen-Gross-Jackiw Anomaly

TL;DR

This paper introduces a novel homotopy operator to derive a simple, explicit superspace integral expression for the 4D, N=1 supersymmetric Bardeen-Gross-Jackiw anomaly, simplifying its computation.

Contribution

It provides the first explicit, closed-form expression for the anomaly using a special homotopy operator in superspace.

Findings

Derived a simple superspace integral expression for the anomaly

Utilized a special homotopy operator for explicit calculations

Simplified the understanding of supersymmetric anomalies

Abstract

By use of a special homotopy operator, we present an explicit, closed-form and simple expression for the left-right Bardeen-Gross-Jackiw anomalies described as the proper superspace integral of a superfunction.