Mass-Deformed BLG Theory in Light-Cone Superspace

TL;DR

This paper develops a light-cone superspace formulation for the maximally supersymmetric mass-deformed BLG theory, revealing novel features in its supersymmetry structure and symmetry breaking pattern.

Contribution

It introduces a light-cone superspace formulation of the mass-deformed BLG theory with cubic dynamical supersymmetry generators and analyzes its symmetry breaking and Hamiltonian structure.

Findings

Dynamical supersymmetry generators are cubic in kinematical ones.

SO(8) R-symmetry is broken to SO(4)xSO(4).

Hamiltonian is a quadratic form of supersymmetry transformations.

Abstract

Maximally supersymmetric mass deformation of the Bagger-Lambert-Gustavsson (BLG) theory corresponds to a {non-central} extension of the d=3 N=8 Poincare superalgebra (allowed in three dimensions). We obtain its light-cone superspace formulation which has a novel feature of the dynamical supersymmetry generators being {cubic} in the kinematical ones. The mass deformation picks a quaternionic direction, which breaks the SO(8) R-symmetry down to SO(4)xSO(4). The Hamiltonian of the theory is shown to be a quadratic form of the dynamical supersymmetry transformations, to all orders in the mass parameter, M, and the structure constants, f^{a b c d}.