On N=8 attractors

TL;DR

This paper derives and analyzes the critical points of the black hole potential in N=8 supergravity, identifying solutions for BPS and non-BPS black holes and relating them to N=2 theories.

Contribution

It generalizes the symplectic structure of special geometry to all extended supergravities with N>2, providing a unified approach to attractor solutions.

Findings

Two solutions for regular black holes: 1/8 BPS and non-BPS

Analysis of moduli at the horizon for BPS attractors

Clarification of attractor features via N=2 STU black hole context

Abstract

We derive and solve the black hole attractor conditions of N=8 supergravity by finding the critical points of the corresponding black hole potential. This is achieved by a simple generalization of the symplectic structure of the special geometry to all extended supergravities with $N>2$. There are two solutions for regular black holes, one for 1/8 BPS ones and one for the non-BPS. We discuss the solutions of the moduli at the horizon for BPS attractors using N=2 language. An interpretation of some of these results in N=2 STU black hole context helps to clarify the general features of the black hole attractors.