Microscopic description of thermodynamic volume in extended black hole thermodynamics

Clifford V. Johnson; Victoria L. Martin; Andrew Svesko

doi:10.1103/PhysRevD.101.086006

Microscopic description of thermodynamic volume in extended black hole thermodynamics

Clifford V. Johnson
, Victoria L. Martin
, Andrew Svesko

Science Institute

University of Iceland

Research output: Contribution to journal › Article › peer-review

Abstract

Using the fact that theories of gravity with asymptotically three-dimensional anti-de Sitter geometries have dual descriptions as two-dimensional conformal field theories (CFTs), we present the first study in field theory of the thermodynamic volume of various black hole solutions. We explain in general two-dimensional CFT terms why the presence of a thermodynamic volume can render certain black hole solutions "superentropic." Superentropicity simply results from the fact that the Cardy formula, which gives the gravitational Bekenstein-Hawking entropy, can overcount the CFT entropy. The examples of charged Banãdos, Teitelbiom, and Zanelli (BTZ) black holes and generalized exotic BTZ black holes are described. These observations help explain why the specific heat at constant volume can signal the instability of such solutions, as recently conjectured.

Original language	English
Article number	086006
Journal	Physical Review D
Volume	101
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevD.101.086006
Publication status	Published - 15 Apr 2020

Bibliographical note

Funding Information: C. V. J.’s work was supported by the U.S. Department of Energy under Grant No. DE-SC0011687. Some of this work was carried out at the Aspen Center for Physics, which is supported by National Science Foundation Grant No. PHY-1607611. The work of V. L. M. is supported by the U.S. Department of Energy under Grant No. DE-SC0018330. A. S. and V. L. M. thank the USC Department of Physics and Astronomy, where work on this project began, for hospitality. Publisher Copyright: © 2020 authors.

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10.1103/PhysRevD.101.086006

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title = "Microscopic description of thermodynamic volume in extended black hole thermodynamics",

abstract = "Using the fact that theories of gravity with asymptotically three-dimensional anti-de Sitter geometries have dual descriptions as two-dimensional conformal field theories (CFTs), we present the first study in field theory of the thermodynamic volume of various black hole solutions. We explain in general two-dimensional CFT terms why the presence of a thermodynamic volume can render certain black hole solutions {"}superentropic.{"} Superentropicity simply results from the fact that the Cardy formula, which gives the gravitational Bekenstein-Hawking entropy, can overcount the CFT entropy. The examples of charged Ban{\~a}dos, Teitelbiom, and Zanelli (BTZ) black holes and generalized exotic BTZ black holes are described. These observations help explain why the specific heat at constant volume can signal the instability of such solutions, as recently conjectured.",

author = "Johnson, \{Clifford V.\} and Martin, \{Victoria L.\} and Andrew Svesko",

note = "Funding Information: C. V. J.{\textquoteright}s work was supported by the U.S. Department of Energy under Grant No. DE-SC0011687. Some of this work was carried out at the Aspen Center for Physics, which is supported by National Science Foundation Grant No. PHY-1607611. The work of V. L. M. is supported by the U.S. Department of Energy under Grant No. DE-SC0018330. A. S. and V. L. M. thank the USC Department of Physics and Astronomy, where work on this project began, for hospitality. Publisher Copyright: {\textcopyright} 2020 authors.",

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doi = "10.1103/PhysRevD.101.086006",

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N2 - Using the fact that theories of gravity with asymptotically three-dimensional anti-de Sitter geometries have dual descriptions as two-dimensional conformal field theories (CFTs), we present the first study in field theory of the thermodynamic volume of various black hole solutions. We explain in general two-dimensional CFT terms why the presence of a thermodynamic volume can render certain black hole solutions "superentropic." Superentropicity simply results from the fact that the Cardy formula, which gives the gravitational Bekenstein-Hawking entropy, can overcount the CFT entropy. The examples of charged Banãdos, Teitelbiom, and Zanelli (BTZ) black holes and generalized exotic BTZ black holes are described. These observations help explain why the specific heat at constant volume can signal the instability of such solutions, as recently conjectured.

AB - Using the fact that theories of gravity with asymptotically three-dimensional anti-de Sitter geometries have dual descriptions as two-dimensional conformal field theories (CFTs), we present the first study in field theory of the thermodynamic volume of various black hole solutions. We explain in general two-dimensional CFT terms why the presence of a thermodynamic volume can render certain black hole solutions "superentropic." Superentropicity simply results from the fact that the Cardy formula, which gives the gravitational Bekenstein-Hawking entropy, can overcount the CFT entropy. The examples of charged Banãdos, Teitelbiom, and Zanelli (BTZ) black holes and generalized exotic BTZ black holes are described. These observations help explain why the specific heat at constant volume can signal the instability of such solutions, as recently conjectured.

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ER -

Microscopic description of thermodynamic volume in extended black hole thermodynamics

Abstract

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