CFT Duals for Attractor Horizons

TL;DR

This paper explores the near horizon geometries of extremal black holes in 5D AdS gravity with scalars and gauge fields, linking attractor mechanisms to potential dual conformal field theories and calculating microscopic entropy.

Contribution

It generalizes previous results to 5D AdS theories with non-minimally coupled scalars, analyzing universal near horizon geometries and their relation to $AdS_2/CFT_1$ correspondence.

Findings

Derived the microscopic entropy of Gutowski-Reall black holes.

Identified universal $AdS_2\times S^2$ near horizon geometries.

Suggested a connection with $AdS_2/CFT_1$ correspondence.

Abstract

In this paper we generalize the results of [1] to 5-dimensional Anti-de Sitter gravity theories with neutral scalars non-minimally coupled to gauge fields. Due to the attractor mechanism, the near horizon geometry of extremal black holes is universal and is determined by only the charge parameters. In particular, we study a class of near horizon geometries that contain an $AdS_2\times S^2$ factor after Kaluza-Klein reduction. In this way we obtain the microscopic entropy of Gutowski-Reall black hole. We also point out a possible connection with the $AdS_2/CFT_1$ correspondence.