Chiral Bosons as solutions of the BV master equation 2D chiral gauge theories

TL;DR

This paper constructs a chiral Wess-Zumino term as a solution to the BV master equation for 2D anomalous gauge theories, extending the field space to include gauge group elements, and compares chiral and non-chiral formulations.

Contribution

It introduces a novel chiral solution to the BV master equation for 2D gauge theories, incorporating gauge group elements as additional degrees of freedom.

Findings

Derived the BRST generator for both Abelian and non-Abelian cases.

Showed the physical equivalence between chiral and non-chiral solutions.

Extended the field-antifield space to include gauge group elements.

Abstract

We construct the chiral Wess-Zumino term as a solution for the Batalin-Vilkovisky master equation for anomalous two-dimensional gauge theories, working in an extended field-antifield space, where the gauge group elements are introduced as additional degrees of freedom. We analyze the Abelian and the non-Abelian cases, calculating in both cases the BRST generator in order to show the physical equivalence between this chiral solution for the master equation and the usual (non-chiral) one.