A SUPERSPACE FORMULATION FOR THE BATALIN VILKOVISKY FORMALISM WITH EXTENDED BRST INVARIANCE

TL;DR

This paper develops a superspace formulation for the Batalin Vilkovisky formalism that incorporates extended BRST invariance, providing an off-shell realization for gauge theories with closed algebra, exemplified by Yang Mills theory.

Contribution

It introduces a superspace approach with two Grassmann coordinates to realize extended BRST invariance off shell in the BV formalism.

Findings

Off-shell realization of extended algebra in superspace.

Application to Yang Mills theory demonstrating the formalism.

Introduction of two collective fields for extended invariance.

Abstract

A superspace formulation for the Batalin Vilkovisky formalism (also called field-antifield quantization ) with extended BRST invariance (BRST and anti-BRST invariance ) for gauge theories with closed algebra is presented. In contrast to a recent formulation, where only BRST invariance holds off shell, two collective sets of fields are introduced and an off shell realization of the extended algebra in a superspace with two Grassmann coordinates is obtained. The example of the Yang Mills theory is also considered.