Abelian Gauge Invariance of the WZ-type Coupling in ABJM Theory

TL;DR

This paper constructs a Wess-Zumino-type coupling in ABJM theory that maintains invariance under both non-Abelian gauge transformations of multiple M2-branes and Abelian gauge transformations of the 11D supergravity 3-form field.

Contribution

It introduces a gauge-invariant interaction term between M2-brane worldvolume fields and the supergravity 3-form in ABJM theory, highlighting Abelian gauge invariance.

Findings

Successfully constructed gauge-invariant coupling

Preserves both non-Abelian and Abelian gauge symmetries

Enhances understanding of M2-brane interactions with supergravity

Abstract

We construct the interaction terms between the worldvolume fields of multiple M2-branes and 3-form gauge field of 11-dimensional supergravity, in the context of ABJM theory. The obtained Wess-Zumino-type coupling is simultaneously invariant under the U$_{\textrm{L}}(N)\times$U$_{\textrm{R}}(N)$ non-Abelian gauge transformation of the ABJM theory and the Abelian gauge transformation of the 3-form field in 11-dimensional supergravity.