A systematic study of finite BRST-BV transformations within W-X formulation of the standard and the Sp(2)-extended field-antifield formalism

TL;DR

This paper systematically investigates finite BRST-BV transformations within the W-X formulation of standard and Sp(2)-extended field-antifield formalism, introducing new Lie equations and deriving gauge-fixing and Ward identities.

Contribution

It introduces a new formulation of finite BRST-BV transformations using Lie equations in the W-X formalism, extending understanding of gauge symmetry transformations.

Findings

Derived finite change of gauge-fixing master action X

Established Ward identity for finite BRST-BV transformations

Formulated new version of Lie equations for these transformations

Abstract

Finite BRST-BV transformations are studied systematically within the W-X formulation of the standard and the Sp(2)-extended field-antifield formalism. The finite BRST-BV transformations are introduced by formulating a new version of the Lie equations. The corresponding finite change of the gauge-fixing master action X and the corresponding Ward identity are derived.