A Closed form for Consistent Anomalies in Gauge Theories

TL;DR

This paper presents a new method that simplifies deriving consistent anomalies in gauge theories across any space-time dimension, unifying previous approaches and providing closed-form solutions.

Contribution

It introduces a novel approach equivalent to the Russian formula for solving descent equations, enabling closed-form expressions for anomalies in all dimensions.

Findings

Method is equivalent to the Russian formula

Allows closed-form expressions of anomalies

Applicable in any space-time dimension

Abstract

The new method for solving the descent equations for gauge theories proposed in \cite{s} is shown to be equivalent with that based on the {\em "Russian formula"}. Moreover it allows to obtain in a closed form the expressions of the consistent anomalies in any space-time dimension.