The scalars of N=2, D=5 and attractor equations

TL;DR

This paper investigates scalar manifolds and attractor equations in 5D N=2 supergravity, revealing how BPS solutions interpolate between critical points influenced by vector and hypermultiplet mixing.

Contribution

It provides a detailed analysis of scalar manifolds and attractor equations in 5D N=2 theories, highlighting the role of superconformal methods and the mixing of multiplets in critical point structure.

Findings

BPS solutions interpolate between UV and IR critical points.

Scalar manifolds are products of special real and quaternionic-Kaehler manifolds.

Mixing of vector and hypermultiplets is crucial for critical point structure.

Abstract

Theories in 5 dimensions with minimal supersymmetry are studied for domain-wall solutions and in the context of the AdS/CFT correspondence. The scalar manifold is a product of a very special real manifold and a quaternionic-Kaehler manifold. Superconformal methods can clarify the structure of these manifolds, which are part of the family of special manifolds. BPS solutions depending on the scalars and a warp factor of the 5-dimensional metric with a flat 4-dimensional metric can interpolate between critical points determined by algebraic attractor equations. The mixing of vector and hypermultiplets is essential to obtain UV and IR critical points.