English

High temperature AdS black holes are low temperature quantum phonon gases

High Energy Physics - Theory 2022-12-15 v3 Quantum Gases General Relativity and Quantum Cosmology

Abstract

We report a precise match between the high temperature (D+2)(D+2)-dimensional Tangherlini-AdS black hole and the low temperature quantum phonon gas in DD-dimensional nonmetallic crystals residing in (D+1)(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.

Keywords

Cite

@article{arxiv.2209.12230,
  title  = {High temperature AdS black holes are low temperature quantum phonon gases},
  author = {Xiangqing Kong and Tao Wang and Liu Zhao},
  journal= {arXiv preprint arXiv:2209.12230},
  year   = {2022}
}

Comments

11 pages. v3: version published in PLB