Self-Dual Non-Abelian Vector Multiplet in Three Dimensions

TL;DR

This paper develops a self-dual non-Abelian vector multiplet in three-dimensional N=1 supersymmetry, introducing a novel formulation that includes a quantized mass and coupling to supersymmetric Dirac-Born-Infeld action, with a superspace reformulation.

Contribution

It presents the first self-dual non-Abelian vector multiplet in three dimensions with a supersymmetric formulation and quantized mass, extending previous Abelian models.

Findings

Formulated a self-dual non-Abelian vector multiplet in 3D.

Demonstrated coupling to supersymmetric Dirac-Born-Infeld action.

Reformulated the system in superspace for clarity.

Abstract

We present an N=1 supersymmetric non-Abelian compensator formulation for a vector multiplet in three-dimensions. Our total field content is the off-shell vector multiplet (A_\mu{}^I, \lambda^I) with the off-shell scalar multiplet (\phi^I, \chi^I; F^I) both in the adjoint representation of an arbitrary non-Abelian gauge group. This system is reduced to a supersymmetric sigma-model on a group manifold, in the zero-coupling limit. Based on this result, we formulate a 'self-dual' non-Abelian vector multiplet in three-dimensions. By an appropriate identification of parameters, the mass of the self-dual vector multiplet is quantized. Additionally, we also show that the self-dual non-Abelian vector multiplet can be coupled to supersymmetric Dirac-Born-Infeld action. These results are further reformulated in superspace to get a clear overall picture.