SU(2) reduction of six-dimensional (1,0) supergravity

Abstract

We obtain a gauged supergravity theory in three dimensions with eight real supersymmetries by means of a Scherk–Schwarz reduction of pure N=(1,0) supergravity in six dimensions on the SU(2) group manifold. The SU(2) Yang–Mills fields in the model propagate, since they have an ordinary kinetic term in addition to Chern–Simons couplings. The other propagating degrees of freedom consist of a dilaton, five scalars which parameterise the coset SL(3, R)/ SO(3), three vector fields in the adjoint of SU(2), and twelve spin- 1 2 fermions. The model admits an AdS 3 vacuum solution. We also show how a charged black hole solution can be obtained, by performing a dimensional reduction of the rotating self-dual string of six-dimensional (1,0) supergravity.