Mass-Deformed BLG Theory in Light-Cone Superspace
High Energy Physics - Theory
2014-11-21 v1
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}.
Cite
@article{arxiv.1006.1646,
title = {Mass-Deformed BLG Theory in Light-Cone Superspace},
author = {Dmitry V. Belyaev},
journal= {arXiv preprint arXiv:1006.1646},
year = {2014}
}
Comments
23 pages