Hypermultiplets, domain walls and supersymmetric attractors

TL;DR

This paper explores the properties of supersymmetric flow equations and superpotentials in five-dimensional N=2 gauged supergravity, providing conditions for BPS domain walls, attractor equations, and applications to specific models and brane world scenarios.

Contribution

It establishes general conditions for BPS domain walls and derives algebraic attractor equations in five-dimensional N=2 gauged supergravity, including detailed examples and embeddings.

Findings

Derived necessary and sufficient conditions for BPS domain walls.

Formulated algebraic attractor equations for N=2 critical points.

Identified an N=2 embedding of the UV-IR solution in the N=8 theory.

Abstract

We establish general properties of supersymmetric flow equations and of the superpotential of five-dimensional N = 2 gauged supergravity coupled to vector and hypermultiplets. We provide necessary and sufficient conditions for BPS domain walls and find a set of algebraic attractor equations for N = 2 critical points. As an example we describe in detail the gauging of the universal hypermultiplet and a vector multiplet. We study a two-parameter family of superpotentials with supersymmetric AdS critical points and we find, in particular, an N = 2 embedding for the UV-IR solution of Freedman, Gubser, Pilch and Warner of the N = 8 theory. We comment on the relevance of these results for brane world constructions.