M-Theory in the Gaugeon Formalism

TL;DR

This paper explores the ABJM theory within the gaugeon formalism, analyzing quantum gauge transformations and extended BRST symmetry to demonstrate unitarity of the S-matrix.

Contribution

It introduces the application of gaugeon formalism to ABJM theory and studies its quantum gauge transformations and BRST symmetry properties.

Findings

BRST transformations are nilpotent

Demonstrates unitarity of the S-matrix

Analyzes gaugeon formalism in superspace

Abstract

In this paper we will analyse the Aharony-Bergman-Jafferis-Maldacena (ABJM) theory in $\mathcal{N}=1$ superspace formalism. We then study the quantum gauge transformations for this ABJM theory in gaugeon formalism. We will also analyse the extended BRST symmetry for this ABJM theory in gaugeon formalism and show that these BRST transformations for this theory are nilpotent and this in turn leads to the unitary evolution of the $\mathcal{S}$-matrix.