Gauged Six-Dimensional Supergravity from Warped IIB Reductions

TL;DR

This paper constructs a comprehensive non-linear reduction from type IIB supergravity to 6D gauged supergravity, utilizing arbitrary holomorphic functions and inspired by recent supersymmetric warped AdS6 solutions.

Contribution

It introduces a new family of Kaluza-Klein reduction ansatze from type IIB to 6D supergravity based on holomorphic functions and geometric surfaces.

Findings

Complete non-linear reduction ansatz derived

Reduction depends on arbitrary holomorphic functions

Connected to recent supersymmetric warped AdS6 solutions

Abstract

We find a family of complete non-linear Kaluza-Kein reduction ansatze from type IIB supergravity to Romans' 6D $F(4)$ gauged supergravity in the bosonic sector. The reduction is over a sphere $S^2$ and a Riemann surface $\Sigma$, and depends on a pair of arbitrary locally holomorphic functions $\mathcal{A}_{\pm}$ on $\Sigma$. This family of reductions is inspired by the recent construction of 1/2 BPS supersymmetric warped $AdS_6$ solutions of IIB supergravity that depend on these same functions $\mathcal{A}_{\pm}$.