Supersymmetric Dirac–Born–Infeld theory in noncommutative space

Abstract

We present a supersymmetric version of Dirac–Born–Infeld (DBI) theory in noncommutative space–time, both for Abelian and non-Abelian gauge groups. We show, using the superfield formalism, that the definition of a certain ordering with respect to the ∗ product leads naturally to a DBI action both in the U(1) as well as in the U(N) case. BPS equations are analysed in this context and properties of the resulting theory are discussed.