Ward identities and gauge flow for M-theory in ${\cal N}{=}3$ superspace

TL;DR

This paper derives BRST symmetry, Slavnov-Taylor, and Nielsen identities for ABJM theories in ${\

Contribution

It introduces a novel analysis of gauge dependence in superconformal Chern-Simons theory using extended BRST transformations in ${\cal N}=3$ harmonic superspace.

Findings

BRST symmetry and identities are explicitly derived for ABJM theories.

Gauge dependence of amplitudes is characterized by a canonical flow.

Extended Slavnov-Taylor identities govern the gauge parameter variations.

Abstract

We derive the BRST symmetry, Slavnov-Taylor identities and Nielsen identities for the ABJM theories in ${\cal N}{=}3$ harmonic superspace. Further, the gauge dependence of one-particle irreducible amplitudes in such superconformal Chern-Simons theory is shown to be generated by a canonical flow with respect to the extended Slavnov-Taylor identity, induced by the extended BRST transformations (including the BRST transformations of the gauge parameters).