Self-Dual Yang-Mills Multiplet in Three Dimensions Coupled to Supergravity

TL;DR

This paper develops a supersymmetric self-dual Yang-Mills multiplet in three dimensions coupled to supergravity, extending previous formulations and including sigma-model interactions with a superspace approach.

Contribution

It introduces a new coupling of self-dual Yang-Mills multiplet to supergravity in three dimensions, with a superspace formulation and sigma-model interactions.

Findings

Successful coupling of self-dual Yang-Mills to supergravity

Formulation of superspace version of the coupled system

Inclusion of sigma-model interactions on coset spaces

Abstract

We couple a recently-established N=1 globally supersymmetric self-dual Yang-Mills multiplet in three dimensions to supergravity. This becomes possible due to our previous result on globally supersymmetric formulation based on a compensator multiplet. We further couple the self-dual vector to a supersymmetric sigma-model on the coset SO(8,n) / SO(8) X SO(n) via minimal couplings for an arbitrary gauged subgroup H_0 \subset SO(8) X SO(n). A corresponding superspace formulation is also presented.