Dimensional Reduction, Gauged D=5 Supergravity and Brane Solutions

TL;DR

This paper derives a five-dimensional gauged supergravity from ten-dimensional supergravity and demonstrates how to lift solutions across dimensions, enabling a deeper understanding of brane configurations in string theory.

Contribution

It explicitly connects five-dimensional gauged supergravity with ten-dimensional supergravity, allowing known solutions to be lifted to higher dimensions.

Findings

All known five-dimensional solutions can be lifted to ten dimensions.

Solutions can be further lifted to eleven dimensions.

Provides explicit relations between lower and higher-dimensional supergravity solutions.

Abstract

The U(1) gauged version of the Strominger-Vafa five dimensional N=2 supergravity with one vector multiplet is obtained via dimensional reduction from the N=1 ten dimensional supergavity. Using such explicit relation between the gauged supergravity theory and ten dimensional supergravity, all known solutions of the five dimensional theory can be lifted up to ten-dimensions. The eleven dimensional solutions can also obtained by lifting the ten-dimensional solutions.