Five-dimensional N=4, SU(2) X U(1) Gauged Supergravity from Type IIB

TL;DR

This paper presents a detailed reduction ansatz from type IIB supergravity on S^5, enabling the embedding of five-dimensional N=4 SU(2)×U(1) gauged supergravity solutions into ten dimensions, including non-abelian gauge fields.

Contribution

It provides the first complete non-linear Kaluza-Klein reduction ansatz for N=4 SU(2)×U(1) gauged supergravity from type IIB supergravity, including non-abelian gauge fields.

Findings

Explicit non-linear reduction ansatz derived.

Enables embedding of 5D solutions into 10D supergravity.

Includes non-abelian gauge fields in the reduction.

Abstract

We construct the complete and explicit non-linear Kaluza-Klein ansatz for deriving the bosonic sector of N=4 SU(2)\times U(1) gauged five-dimensional supergravity from the reduction of type IIB supergravity on S^5. This provides the first complete example of such an S^5 reduction that includes non-abelian gauge fields, and it allows any bosonic solution of the five-dimensional N=4 gauged theory to be embedded in D=10.