Probing decoupled Throats of AdS$_{D}$ Black Holes in $D=6,7$

TL;DR

This paper explores the near-horizon geometries of extremal vanishing horizon (EVH) black holes in six and seven-dimensional anti-de Sitter spaces, revealing their reduction to lower-dimensional solutions related to Einstein-Maxwell-Maxwell-dilaton gravity, which may aid in understanding black hole entropy microscopically.

Contribution

It demonstrates that near-EVH geometries in AdS$_{6,7}$ black holes simplify to lower-dimensional conformally related solutions, suggesting a new approach to microscopic entropy counting.

Findings

Near-EVH geometries reduce to lower-dimensional black hole solutions.

These solutions are conformally related to Einstein-Maxwell-Maxwell-dilaton gravity.

Potential pathway for microscopic black hole entropy analysis.

Abstract

The Kerr/CFT correspondence establishes a relationship between extremal black holes in higher dimensions and a chiral conformal field theory (CFT) in their near-horizon limit. A generalization of this framework, known as the EVH/CFT correspondence, has been developed for four- and five-dimensional AdS black holes. It was further proposed in arXiv:1910.14293 that a generalized duality between $(D-2)$-dimensional geometry and $(D-3)$-dimensional field theory may emerge in AdS$_{D=6,7}$ black holes under a suitably defined extremal vanishing horizon (EVH) limit. In this work, we demonstrate that the near-EVH geometries arising in these AdS$_{6,7}$ black hole models, under the EVH limit, reduce to lower-dimensional black hole solutions whose metrics are conformally related to configurations of Einstein-Maxwell-Maxwell-dilaton (EMMD) gravity. This structural resemblance suggests a potential route toward a microscopic counting of non-AdS black hole entropy via higher-dimensional AdS/CFT techniques.