Consistent Kaluza-Klein Reductions for General Supersymmetric AdS Solutions

TL;DR

This paper constructs explicit consistent Kaluza-Klein reductions from type IIB supergravity on specific manifolds to lower-dimensional gauged supergravity, enabling uplift of solutions and broadening understanding of supersymmetric AdS backgrounds.

Contribution

It provides explicit consistent reduction ansätze for general supersymmetric AdS_5 and AdS_4 solutions, facilitating solution uplift to ten dimensions.

Findings

Reduction from AdS_5 x M_5 to 5D minimal gauged supergravity

Reduction from AdS_4 x SE_7 to 4D minimal gauged supergravity

Enables uplift of lower-dimensional solutions to type IIB supergravity

Abstract

For the most general supersymmetric solutions of type IIB supergravity consisting of a warped product of AdS_5 with a five-dimensional manifold M_5, we construct an explicit consistent Kaluza-Klein reduction on M_5 to minimal D=5 gauged supergravity. Thus, any solution of the gauged supergravity can be uplifted on M_5 to obtain an exact solution of type IIB supergravity. We also show that for general AdS_4 x SE_7 solutions, where SE_7 is a seven-dimensional Sasaki-Einstein manifold, and for a general class of supersymmetric solutions that are a warped product of AdS_4 with a seven-dimensional manifold N_7, there is an analogous consistent reduction to minimal D=4 gauged supergravity.