High temperature AdS black holes are low temperature quantum phonon gases

TL;DR

This paper establishes a precise quantitative correspondence between high temperature AdS black holes and low temperature quantum phonon gases in nonmetallic crystals, using a novel thermodynamic formalism within the AdS/CMT framework.

Contribution

It introduces a new exact matching between high temperature black hole thermodynamics and low temperature phonon gases, advancing the AdS/CMT correspondence.

Findings

Exact thermodynamic match between black holes and phonon gases

Use of restricted phase space formalism for black hole thermodynamics

Contribution to the quantitative understanding of AdS/CMT correspondence

Abstract

We report a precise match between the high temperature $(D+2)$-dimensional Tangherlini-AdS black hole and the low temperature quantum phonon gas in $D$-dimensional nonmetallic crystals residing in $(D+1)$-dimensional flat spacetime. The match is realized by use of the recently proposed restricted phase space formalism for black hole thermodynamics, and the result can be viewed as a novel contribution to the AdS/CMT correspondence on a quantitative level.