Curved BPS domain walls and RG flow in five dimensions

TL;DR

This paper explores conditions for curved supersymmetric domain wall solutions in five-dimensional gauged supergravity, linking these solutions to RG flows and providing explicit examples with hypermultiplets.

Contribution

It identifies criteria for curved BPS domain walls in five-dimensional ${ m N}=2$ gauged supergravity and constructs explicit solutions with hypermultiplets.

Findings

Curved BPS solutions can exist with non-constant scalar fields.

Explicit example of a curved BPS domain wall with hypermultiplet.

Connection established between domain walls and RG flow descriptions.

Abstract

We determine, in the context of five-dimensional ${\cal N}=2$ gauged supergravity with vector and hypermultiplets, the conditions under which curved (non Ricci flat) supersymmetric domain wall solutions may exist. These curved BPS domain wall solutions may, in general, be supported by non-constant vector and hyper scalar fields. We establish our results by a careful analysis of the BPS equations as well as of the associated integrability conditions and the equations of motion. We construct an example of a curved BPS solution in a gauged supergravity model with one hypermultiplet. We also discuss the dual description of curved BPS domain walls in terms of RG flows.