Kappa-symmetric non-abelian Born-Infeld actions in three dimensions

TL;DR

This paper develops a superembedding approach to construct non-abelian Born-Infeld actions in three dimensions that exhibit both target space and worldvolume supersymmetry, including kappa symmetry, extending abelian models with SU(N) gauge multiplets.

Contribution

It introduces a superembedding method for non-abelian Born-Infeld actions in three dimensions, including a kappa-supersymmetric extension of the symmetrised trace action.

Findings

Constructed superembedding-based non-abelian Born-Infeld actions with kappa symmetry.

Extended abelian gauge multiplet with SU(N) gauge supermultiplet.

Developed single-trace and symmetrised trace actions with supersymmetry.

Abstract

A superembedding construction of general non-abelian Born-Infeld actions in three dimensions is described. These actions have rigid target space and local worldvolume supersymmetry(i.e. kappa symmetry). The standard abelian Born-Infeld gauge multiplet is augmented with an additional worldvolume SU(N) gauge supermultiplet. It is shown how to construct single-trace actions and in particular a kappa-supersymmetric extension of the symmetrised trace action.