Ward and Nielsen Identities for ABJM Theory in ${\cal N}=1$ Superspace

TL;DR

This paper reviews the gauge structure of ABJM theory in ${ m N}=1$ superspace, derives Ward and Nielsen identities at quantum level, and demonstrates gauge independence of physical quantities, supporting the theory's renormalizability.

Contribution

It provides the first derivation of Ward and Nielsen identities for ABJM theory in ${ m N}=1$ superspace, establishing gauge independence of physical observables.

Findings

Ward identities confirm gauge invariance at quantum level

Nielsen identities ensure gauge independence of two-point functions

Supports renormalizability of ABJM theory in superspace

Abstract

The structures and the associated gauge algebra of ABJM theory in ${\cal N}=1$ superspace are reviewed. We derive the Ward identities of the theory in the class of Lorentz-type gauges at quantum level to justify the renormalizability of the model. We compute the Nielsen identities for the two-point functions of the theory with the help of enlarged BRST transformation. The identities are derived in ABJM theory to ensure the gauge independence of the physical poles of the Green's functions.