Spontaneous Breaking of the BRST Symmetry in the ABJM theory

Abstract

In this paper, we will analyse the ghost condensation in the ABJM theory. We will perform our analysis in $\mathcal{N}=1$ 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.

9 pages, no figure, Accepted in Phys. Lett. B

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• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
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• A superspace description of Chern-Simons theory in Batalin-Vilkovisky formulation
• Massive Spinning Relativistic Particle: Revisited Under BRST and Supervariable Approaches
• Ward and Nielsen Identities for ABJM Theory in $\mathcal{N}=1$ Superspace
• Remarks on Gribov mechanism on N=1 Supersymmetric 3D theories and the possibility of obtaining Gribov from one ABJM like Theory
• Construction of a Massive ABJM Theory Without Higgs Superfields
• A mass-deformed BLG theory in Gribov-Zwanziger framework
• On-shell supersymmetry breaking in the Abelian Chern-Simons-matter model in three dimensions of spacetime