Non-BPS Attractors in 5d and 6d Extended Supergravity

TL;DR

This paper explores the relationship between non-BPS attractor solutions in five and six-dimensional supergravity theories, analyzing moduli spaces, flat directions, and charge orbits to deepen understanding of extremal black objects.

Contribution

It establishes a connection between d=5 and d=6 supergravity attractors, explicitly computes flat directions, and investigates the embedding of magic models within N=8 supergravity.

Findings

Explicit computation of flat directions for symmetric spaces

Relation between d=5 and d=6 attractor moduli spaces

Embedding of magic models in N=8 supergravity

Abstract

We connect the attractor equations of a certain class of N=2, d=5 supergravities with their (1,0), d=6 counterparts, by relating the moduli space of non-BPS d=5 black hole/black string attractors to the moduli space of extremal dyonic black string d=6 non-BPS attractors. For d = 5 real special symmetric spaces and for N = 4,6,8 theories, we explicitly compute the flat directions of the black object potential corresponding to vanishing eigenvalues of its Hessian matrix. In the case N = 4, we study the relation to the (2,0), d=6 theory. We finally describe the embedding of the N=2, d=5 magic models in N=8, d=5 supergravity as well as the interconnection among the corresponding charge orbits.