Mass deformed Lorentzian-Bagger-Lambert -Gustavsson theory from Aharony-Bergman-Jafferis theory

Abstract

We construct mass deformed SUðNÞ Lorentzian-Bagger-Lambert-Gustavsson theory together with UðM NÞk Chern-Simons theory. This mass deformed Lorentzian-Bagger-Lambert-Gustavsson theory is a low energy world volume theory of a stack of N number of M2-branes far away from C4=Zk 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