Gauged six-dimensional supergravity from warped IIB reductions

Abstract

We find a family of complete non-linear Kaluza-Klein reduction ansätze from type IIB supergravity to Romans’ 6D F (4) gauged supergravity in the bosonic sector. The reduction is over a sphere S2 and a Riemann surface Σ, and depends on a pair of arbitrary locally holomorphic functions A± on Σ. This family of reductions is inspired by the recent construction of 1/2 BPS supersymmetric warped AdS6 solutions of IIB supergravity that depend on these same functions A±.