Domain walls in five dimensional supergravity with non-trivial hypermultiplets

TL;DR

This paper investigates BPS domain wall solutions in five-dimensional N=2 supergravity with gauged hypermultiplet isometries, deriving flow equations and analyzing a specific RG-flow related to a dual superconformal field theory.

Contribution

It derives supersymmetric flow equations for domain walls in 5D supergravity with non-trivial hypermultiplets and explores their relation to RG-flows in dual SCFTs.

Findings

Derived supersymmetric flow equations for domain walls.

Defined an appropriate c-function for these solutions.

Analyzed a specific domain wall solution related to RG-flow in dual SCFT.

Abstract

We study BPS domain wall solutions of 5-dimensional N=2 supergravity where isometries of the hypermultiplet geometry have been gauged. We derive the corresponding supersymmetric flow equations and define an appropriate c-function. As an example we discuss a domain wall solution of Freedman, Gubser, Pilch and Warner which is related to a RG-flow in a dual superconformal field theory.