Mass Deformation of the Multiple M2 Branes Theory

Abstract

Based on recent developments, in this letter we study the one parameter deformation of 2+1 dimensional gauge theories with scale invariance and N = 8 supersymmetry, which is expected to be the field theory living on a stack of M2 branes. The deformed gauge theory is defined by a Lagrangian and is based on an infinite set of novel 3-algebras constructed by relaxing the assumption that the invariant metric is positive definite. Under the Higgs mechanism, we can obtain the D-branes world volume theory in the presence of background fluxes.

13pages, no figures, reference added

References in corpus (9)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Modeling Multiple M2's
• Comments on Multiple M2-branes
• Three-Algebras and N=6 Chern-Simons Gauge Theories
• N = 8 Superconformal Chern--Simons Theories
• M2-branes on M-folds
• Relaxed Three-Algebras: Their Matrix Representations and Implications for Multi M2-brane Theory
• M2-branes Coupled to Antisymmetric Fluxes