Supersymmetric Adler-Bardeen anomaly in N=1 super-Yang-Mills theories

Abstract

We provide a study of the supersymmetric Adler--Bardeen anomaly in the $\mathbb{N}=1,d=4,6,10$ super-Yang--Mills theories. We work in the component formalism that includes shadow fields, for which Slavnov--Taylor identities can be independently set for both gauge invariance and supersymmetry. We find a method with improved descent equations for getting the solutions of the consistency conditions of both Slavnov--Taylor identities and finding the local field polynomials for the standard Adler--Bardeen anomaly and its supersymmetric counterpart. We give the explicit solution for the ten-dimensional case.

9 pages ; references added

References in corpus (1)

• Shadow Fields and Local Supersymmetric Gauges

Cited by in corpus (1)

• Anomalies and Supersymmetry