Observations on the Holographic Duals of 4-D Extremal Black Holes

TL;DR

This paper explores the holographic dual description of 4-D extremal black holes within a supersymmetric supergravity framework, proposing a quantum-exact 5-D dual and analyzing related singularities.

Contribution

It introduces a quantum-exact 5-D dual description for extremal black holes in N=4 supergravity and discusses the nature of singularities in related supergravity solutions.

Findings

Proposes a classical 5-D supergravity dual for 4-D extremal black holes.

Identifies the dual as a string with mixed charges in a supersymmetric setting.

Analyzes the singularity issues in specific supergravity solutions.

Abstract

We argue that extremal black holes of N=4 Poincare supergravity coupled to conformal matter have a quantum-exact dual 5-d description in the maximally supersymmetric extension of the Randall-Sundrum theory. This dual is a the classical, static supergravity solution describing a string with both Neveu-Schwarz and Ramond charge with respect to different antisymmetric tensor doublets. We also discuss the issue of the singularity present in a class of such supergravity solutions found by Cvetic, Lu and Pope.