Spontaneous Breaking of the BRST Symmetry in the ABJM theory

TL;DR

This paper investigates ghost condensation and spontaneous BRST symmetry breaking in the ABJM theory within ${ m ext{N}}=1$ superspace, revealing that ghost-anti-ghost condensates can cause symmetry breaking even in modified abelian gauges.

Contribution

It demonstrates the occurrence of spontaneous BRST symmetry breaking due to ghost-anti-ghost condensation in ABJM theory within a specific gauge framework.

Findings

BRST symmetry can spontaneously break in ABJM theory due to ghost-anti-ghost condensation.

The ghost-anti-ghost condensates persist in the modified abelian gauge.

Spontaneous symmetry breaking occurs in the ${ m ext{N}}=1$ superspace formulation.

Abstract

In this paper, we will analyse the ghost condensation in the ABJM theory. We will perform our analysis in ${\cal N}=1$ superspace. We show that in the Delbourgo-Jarvis-Baulieu-Thierry-Mieg gauge the spontaneous breaking of BRST symmetry can occur in the ABJM theory. This spontaneous breaking of BRST symmetry is caused by ghost-anti-ghost condensation. We will also show that in the ABJM theory, the ghost-anti-ghost the condensates remains present in the modified abelian gauge. Thus, the spontaneous breaking of BRST symmetry in ABJM theory can even occur in the modified abelian gauge.