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

TL;DR

This paper extends the EVH/CFT program to AdS$_{6}$ and AdS$_{7}$ black holes, showing that their near-EVH regions do not produce conventional AdS$_{D-2}$ holes but decouple into Einstein–Maxwell–Maxwell–dilaton (EMMD) gravity in $(D-2)$ dimensions. For AdS$_6$, the near-EVH flow yields a 4D EMMD black hole with entropy scaling $S\sim T^2$, while for AdS$_7$ there are two branches: a BTZ-like $S\sim T$ IR and a 5D EMMD $S\sim T^3$ IR, each associated with specific charge/angular-momentum scalings. The authors derive the corresponding IR geometries, map the entropy functionals to higher-dimensional holographic data, and argue that EMMD provides a viable route to count microstates for non-AdS horizons via higher-dimensional AdS/CFT. These results illuminate holographic duals to non-AdS black holes and point to rich IR subsectors of higher-dimensional SCFTs, with potential connections to non-relativistic holography and Spin Matrix theory. The work opens multiple avenues for future exploration, including off-shell relations, broader scaling regimes, and explicit microscopic realizations of the EMMD sectors.

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 are not of the standard lower dimensional AdS kinds of black holes to establish a lower dimensional version of AdS/CFT correspondence, but instead belong to the family of Einstein-Maxwell-Maxwell-dilaton (EMMD) gravity theories. This realization opens a pathway toward a microscopic counting of non-AdS black hole entropy via higher-dimensional AdS/CFT techniques.