Consistent Type IIB Reductions to Maximal 5D Supergravity

TL;DR

This paper develops explicit non-linear reduction formulas for IIB supergravity compactified on spheres and hyperboloids, resulting in consistent 5D supergravity theories with SO(p,q) gauge groups that preserve solutions.

Contribution

It provides the full non-linear reduction ansaetze for AdS5×S5 and hyperboloidal compactifications, enabling direct lifting of 5D solutions to IIB supergravity.

Findings

Constructed consistent truncations for sphere and hyperboloid compactifications.

Lifts all stationary points and RG flows from 5D to IIB supergravity.

Established explicit formulas for maximal 5D supergravities with SO(p,q) gauge groups.

Abstract

We use exceptional field theory as a tool to work out the full non-linear reduction ansaetze for the AdS$_5\times S^5$ compactification of IIB supergravity and its non-compact counterparts in which the sphere $S^5$ is replaced by the inhomogeneous hyperboloidal space $H^{p,q}$. The resulting theories are the maximal 5D supergravities with gauge groups SO(p,q). They are consistent truncations in the sense that every solution of 5D supergravity lifts to a solution of IIB supergravity. In particular, every stationary point and every holographic RG flow of the scalar potentials for the compact and non-compact 5D gaugings directly lift to solutions of IIB supergravity.