On the determination of anomalies in supersymmetric theories

TL;DR

This paper introduces a new method combining nonlocal regularization and superspace techniques to efficiently compute anomalies in supersymmetric theories, demonstrating its effectiveness on a four-dimensional toy model.

Contribution

The paper presents a novel combined approach for anomaly calculation in supersymmetric theories, explicitly verifying anomaly cancellation at one-loop in a specific model.

Findings

All candidate supersymmetry anomalies vanish at one-loop in the toy model.

The method simplifies anomaly computations in supersymmetric theories.

Demonstrates the applicability of the technique to four-dimensional models.

Abstract

We develop an efficient technique to compute anomalies in supersymmetric theories by combining the so-called nonlocal regularization method and superspace techniques. To illustrate the method we apply it to a four dimensional toy model with potentially anomalous N=1 supersymmetry and prove explicitly that in this model all the candidate supersymmetry anomalies have vanishing coefficients at the one-loop level.