Holographic entanglement entropy at finite temperature

Ibrahima Bah; Alberto Faraggi; Leopoldo A. Pando Zayas; César A. Terrero-Escalante

doi:10.1142/S0217751X0904542X

Holographic entanglement entropy at finite temperature

Ibrahima Bah, Alberto Faraggi, Leopoldo A. Pando Zayas, César A. Terrero-Escalante

Exact Sciences School

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

26 Citations (SciVal)

Abstract

Using a holographic proposal for the entanglement entropy we study its behavior in various supergravity backgrounds. We are particularly interested in the possibility of using the entanglement entropy as way to detect transitions induced by the presence horizons. We consider several geometries with horizons: the black hole in AdS₃, nonextremal Dp-branes, dyonic black holes asymptotically to AdS₄ and also Schwarzschild black holes in global AdS_p coordinates. Generically, we find that the entanglement entropy does not exhibit a transition, that is, one of the two possible configurations always dominates.

Original language	English
Pages (from-to)	2703-2728
Number of pages	26
Journal	International Journal of Modern Physics A
Volume	24
Issue number	14
DOIs	https://doi.org/10.1142/S0217751X0904542X
Publication status	Published - 10 Jun 2009

Keywords

Entanglement entropy
Finite temperature
Gauge/gravity correspondence

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics
Astronomy and Astrophysics

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10.1142/S0217751X0904542X

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title = "Holographic entanglement entropy at finite temperature",

abstract = "Using a holographic proposal for the entanglement entropy we study its behavior in various supergravity backgrounds. We are particularly interested in the possibility of using the entanglement entropy as way to detect transitions induced by the presence horizons. We consider several geometries with horizons: the black hole in AdS3, nonextremal Dp-branes, dyonic black holes asymptotically to AdS4 and also Schwarzschild black holes in global AdSp coordinates. Generically, we find that the entanglement entropy does not exhibit a transition, that is, one of the two possible configurations always dominates.",

keywords = "Entanglement entropy, Finite temperature, Gauge/gravity correspondence",

author = "Ibrahima Bah and Alberto Faraggi and {Pando Zayas}, {Leopoldo A.} and Terrero-Escalante, {C{\'e}sar A.}",

note = "Funding Information: C. Terrero-Escalante is thankful to MCTP and CEFIMAS for hospitality. This work is partially supported by Department of Energy under grant DE-FG02-95ER40899 to the University of Michigan.",

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AU - Bah, Ibrahima

AU - Faraggi, Alberto

AU - Pando Zayas, Leopoldo A.

AU - Terrero-Escalante, César A.

N1 - Funding Information: C. Terrero-Escalante is thankful to MCTP and CEFIMAS for hospitality. This work is partially supported by Department of Energy under grant DE-FG02-95ER40899 to the University of Michigan.

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N2 - Using a holographic proposal for the entanglement entropy we study its behavior in various supergravity backgrounds. We are particularly interested in the possibility of using the entanglement entropy as way to detect transitions induced by the presence horizons. We consider several geometries with horizons: the black hole in AdS3, nonextremal Dp-branes, dyonic black holes asymptotically to AdS4 and also Schwarzschild black holes in global AdSp coordinates. Generically, we find that the entanglement entropy does not exhibit a transition, that is, one of the two possible configurations always dominates.

AB - Using a holographic proposal for the entanglement entropy we study its behavior in various supergravity backgrounds. We are particularly interested in the possibility of using the entanglement entropy as way to detect transitions induced by the presence horizons. We consider several geometries with horizons: the black hole in AdS3, nonextremal Dp-branes, dyonic black holes asymptotically to AdS4 and also Schwarzschild black holes in global AdSp coordinates. Generically, we find that the entanglement entropy does not exhibit a transition, that is, one of the two possible configurations always dominates.

KW - Entanglement entropy

KW - Finite temperature

KW - Gauge/gravity correspondence

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Holographic entanglement entropy at finite temperature

Abstract

Keywords

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