Self-dual Yang-Mills multiplet in three dimensions coupled to supergravity

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)xSO(n) via minimal couplings for an arbitrary gauged subgroup H{sub 0} subset of SO(8)xSO(n). A corresponding superspace formulation is also presented.