Enhancement of Supersymmetry Near 5d Black Hole Horizon

TL;DR

This paper investigates supersymmetry enhancement near 5-dimensional black hole horizons, focusing on a new case with p=0, d=5, and derives the entropy formula based on geometric and charge considerations.

Contribution

It introduces a supersymmetric version of very special geometry for 5d black holes and derives the entropy formula related to horizon volume and charges.

Findings

Supersymmetry is enhanced near the 5d black hole horizon.

A new case with p=0, d=5 is studied in detail.

The area-entropy relation is expressed via the volume of S^3 and charges.

Abstract

Geometric Killing spinors which exist on AdS_{p+2} X S^{d-p-2} sometimes may be identified with supersymmetric Killing spinors. This explains the enhancement of unbroken supersymmetry near the p-brane horizon in d dimensions. The corresponding p-brane interpolates between two maximally supersymmetric vacua, at infinity and at the horizon. New case is studied here: p=0, d=5. The details of supersymmetric version of the very special geometry are presented. We find the area-entropy formula of the supersymmetric 5d black holes via the volume of S^3 which depends on charges and intersection matrix.