Finite BRST Transformations for the Bagger-Lambert-Gustavasson Theory

TL;DR

This paper constructs finite field dependent BRST transformations for the BLG theory in superspace and demonstrates their use in relating generating functionals across different gauges.

Contribution

It introduces the FFBRST transformations for the BLG theory and shows their application in gauge relation analysis.

Findings

FFBRST transformations relate different gauge functionals.

Constructed BRST transformations in $ abla=1$ superspace.

Analyzed the impact of FFBRST on the effective action.

Abstract

In this paper we analyse the Bagger-Lambert-Gustavsson (BLG) theory in $\mathcal{N} =1$ superspace. Furthermore, we will construct the BRST transformations for this theory. These BRST transformations will be integrated out to obtain the finite field dependent version of BRST (FFBRST) transformations. We will also analyse the effect of the FFBRST transformations on the effective action. We will thus show that the FFBRST transformations can be used to relate generating functionals of the BLG theory in two different gauges.