Eur. Phys. J. C (2011) 71: 1599
https://doi.org/10.1140/epjc/s10052-011-1599-0

Regular Article - Theoretical Physics

Mass deformation of the multiple M2-branes theory

¹ Interdisciplinary Center of Theoretical Studies, USTC, Hefei, Anhui, 230026, China
² Institute of Theoretical Physics, Academia Sinica, Beijing, 100080, China

^* e-mail: yssong@mail.tsinghua.edu.cn

Received: 19 January 2010
Revised: 22 February 2011
Published online: 12 March 2011

Abstract

Based on recent developments, in this paper we study the one parameter deformation of 2+1-dimensional gauge theories with scale invariance and supersymmetry, which is expected to be the field theory living on a stack of M2-branes. The deformed gauge theory is defined by the 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 develop the D-branes world volume theory in the presence of background fluxes.