Mass Deformed L-BLG Theory From ABJ Theory

TL;DR

This paper constructs a mass-deformed L-BLG theory from ABJ theory, providing a low-energy description of M2-branes away from singularities through a specific scaling limit.

Contribution

It introduces a novel mass deformation of the L-BLG theory derived from ABJ theory, expanding the understanding of M2-brane world volume theories.

Findings

Mass deformed L-BLG theory constructed

Connection to M2-branes away from singularities established

Scaling limit of fields and Chern-Simons level identified

Abstract

We construct mass deformed SU(N) L-BLG theory together with $U(M-N)_k$ Chern-Simons theory. This mass deformed L-BLG theory is a low energy world volume theory of a stack of $N$ number of M2-brane far away from $C^4/Z_k$ singularity. We carry out this by defining a special scaling limit of the fields of this theory and simultaneously sending the Chern-Simons level to infinity.