Finite field-dependent BRST symmetry for ABJM theory in ${\cal N}=1$ superspace

TL;DR

This paper explores the application of finite field-dependent BRST symmetry transformations within the ABJM theory formulated in ${\cal N}=1$ superspace, demonstrating their role in connecting different gauge choices.

Contribution

It introduces the finite field-dependent BRST (FFBRST) transformations for ABJM theory in ${\cal N}=1$ superspace and shows how they relate different gauge fixing conditions.

Findings

FFBRST transformations are derived for ABJM theory.

FFBRST connects linear and non-linear gauges in ABJM.

The approach enhances understanding of gauge symmetry in superspace.

Abstract

In this paper we analyse the ABJM theory in ${\cal N}=1$ superspace. Firstly we study the linear and non-linear BRST transformations for the ABJM theory. Then we derive the finite field dependent version of these BRST (FFBRST) transformations. Further we show that such FFBRST transformations relate the generating functional in linear gauge to the generating functional in the non-linear gauge of ABJM theory.