Supersymmetric Dirac-Born-Infeld theory in noncommutative space

TL;DR

This paper develops a supersymmetric Dirac-Born-Infeld theory in noncommutative space-time for Abelian and non-Abelian gauge groups, using superfield formalism to define a natural * product ordering, and analyzes BPS equations and properties.

Contribution

It introduces a supersymmetric noncommutative DBI action for U(1) and U(N) gauge groups using superfield formalism, highlighting a natural * product ordering.

Findings

Derived a supersymmetric noncommutative DBI action for U(1) and U(N)

Analyzed BPS equations within the noncommutative supersymmetric framework

Discussed properties and implications of the resulting theory

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.