Gibbons-Hawking entropy as entanglement entropy

Cesar Arias; Felipe Diaz; Per Sundell

doi:10.1063/1.5130124

Gibbons-Hawking entropy as entanglement entropy

Cesar Arias, Felipe Diaz, Per Sundell

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

We consider a deformed version of four-dimensional de Sitter spacetime. The setup consist of two (antipodal) disconnected Rindler observers, each one with an S⁴ topology. We show that the two observers have an entanglement entropy, in the low energy sector, given by a quarter of the area of a pair minimal surfaces, that corresponds to the set of fixed points of an Z_q orbifold. The result matches with the Gibbons-Hawking entropy when we restrict the Z_q action to a single Rindler wedge.

Original language	English
Title of host publication	Proceedings of the 23rd International Scientific Conference of Young Scientists and Specialists, AYSS 2019
Editors	Alexey Aparin, Ivan Bobrikov, Vratislav Chudoba, Olga Derenovskaya, Anton Dolzhikov, Aidos Issadykov, Alexander Verkheev
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735419087
DOIs	https://doi.org/10.1063/1.5130124
Publication status	Published - 22 Oct 2019
Event	23rd International Scientific Conference of Young Scientists and Specialists, AYSS 2019 - Dubna, Russian Federation Duration: 15 Apr 2019 → 19 Apr 2019

Publication series

Name	AIP Conference Proceedings
Volume	2163
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	23rd International Scientific Conference of Young Scientists and Specialists, AYSS 2019
Country/Territory	Russian Federation
City	Dubna
Period	15/04/19 → 19/04/19

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1063/1.5130124

Cite this

Arias, C., Diaz, F., & Sundell, P. (2019). Gibbons-Hawking entropy as entanglement entropy. In A. Aparin, I. Bobrikov, V. Chudoba, O. Derenovskaya, A. Dolzhikov, A. Issadykov, & A. Verkheev (Eds.), Proceedings of the 23rd International Scientific Conference of Young Scientists and Specialists, AYSS 2019 Article 090002 (AIP Conference Proceedings; Vol. 2163). American Institute of Physics Inc.. https://doi.org/10.1063/1.5130124

Arias, Cesar ; Diaz, Felipe ; Sundell, Per. / Gibbons-Hawking entropy as entanglement entropy. Proceedings of the 23rd International Scientific Conference of Young Scientists and Specialists, AYSS 2019. editor / Alexey Aparin ; Ivan Bobrikov ; Vratislav Chudoba ; Olga Derenovskaya ; Anton Dolzhikov ; Aidos Issadykov ; Alexander Verkheev. American Institute of Physics Inc., 2019. (AIP Conference Proceedings).

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title = "Gibbons-Hawking entropy as entanglement entropy",

abstract = "We consider a deformed version of four-dimensional de Sitter spacetime. The setup consist of two (antipodal) disconnected Rindler observers, each one with an S4 topology. We show that the two observers have an entanglement entropy, in the low energy sector, given by a quarter of the area of a pair minimal surfaces, that corresponds to the set of fixed points of an Zq orbifold. The result matches with the Gibbons-Hawking entropy when we restrict the Zq action to a single Rindler wedge.",

author = "Cesar Arias and Felipe Diaz and Per Sundell",

note = "Funding Information: It is a pleasure to thank R. Aros, E. Cheung and R. Olea for interesting discussions related to the topic of this paper. P.S. acknowledges the support of Conicyt grant DPI 2014-0115, Fondecyt Regular grants 1151107 and 1140296, and the NSF China Contracts No. 11775110 and 11690034. The work of C. A. is supported by a Riemann Fellowship. F. D. would like to thank the hospitality of Lebedev Physical Institute during the final stage of this project.; 23rd International Scientific Conference of Young Scientists and Specialists, AYSS 2019 ; Conference date: 15-04-2019 Through 19-04-2019",

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doi = "10.1063/1.5130124",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Alexey Aparin and Ivan Bobrikov and Vratislav Chudoba and Olga Derenovskaya and Anton Dolzhikov and Aidos Issadykov and Alexander Verkheev",

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Arias, C, Diaz, F & Sundell, P 2019, Gibbons-Hawking entropy as entanglement entropy. in A Aparin, I Bobrikov, V Chudoba, O Derenovskaya, A Dolzhikov, A Issadykov & A Verkheev (eds), Proceedings of the 23rd International Scientific Conference of Young Scientists and Specialists, AYSS 2019., 090002, AIP Conference Proceedings, vol. 2163, American Institute of Physics Inc., 23rd International Scientific Conference of Young Scientists and Specialists, AYSS 2019, Dubna, Russian Federation, 15/04/19. https://doi.org/10.1063/1.5130124

Gibbons-Hawking entropy as entanglement entropy. / Arias, Cesar; Diaz, Felipe; Sundell, Per.
Proceedings of the 23rd International Scientific Conference of Young Scientists and Specialists, AYSS 2019. ed. / Alexey Aparin; Ivan Bobrikov; Vratislav Chudoba; Olga Derenovskaya; Anton Dolzhikov; Aidos Issadykov; Alexander Verkheev. American Institute of Physics Inc., 2019. 090002 (AIP Conference Proceedings; Vol. 2163).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - Gibbons-Hawking entropy as entanglement entropy

AU - Arias, Cesar

AU - Diaz, Felipe

AU - Sundell, Per

N1 - Funding Information: It is a pleasure to thank R. Aros, E. Cheung and R. Olea for interesting discussions related to the topic of this paper. P.S. acknowledges the support of Conicyt grant DPI 2014-0115, Fondecyt Regular grants 1151107 and 1140296, and the NSF China Contracts No. 11775110 and 11690034. The work of C. A. is supported by a Riemann Fellowship. F. D. would like to thank the hospitality of Lebedev Physical Institute during the final stage of this project.

PY - 2019/10/22

Y1 - 2019/10/22

N2 - We consider a deformed version of four-dimensional de Sitter spacetime. The setup consist of two (antipodal) disconnected Rindler observers, each one with an S4 topology. We show that the two observers have an entanglement entropy, in the low energy sector, given by a quarter of the area of a pair minimal surfaces, that corresponds to the set of fixed points of an Zq orbifold. The result matches with the Gibbons-Hawking entropy when we restrict the Zq action to a single Rindler wedge.

AB - We consider a deformed version of four-dimensional de Sitter spacetime. The setup consist of two (antipodal) disconnected Rindler observers, each one with an S4 topology. We show that the two observers have an entanglement entropy, in the low energy sector, given by a quarter of the area of a pair minimal surfaces, that corresponds to the set of fixed points of an Zq orbifold. The result matches with the Gibbons-Hawking entropy when we restrict the Zq action to a single Rindler wedge.

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M3 - Conference contribution

AN - SCOPUS:85074163711

T3 - AIP Conference Proceedings

BT - Proceedings of the 23rd International Scientific Conference of Young Scientists and Specialists, AYSS 2019

A2 - Aparin, Alexey

A2 - Bobrikov, Ivan

A2 - Chudoba, Vratislav

A2 - Derenovskaya, Olga

A2 - Dolzhikov, Anton

A2 - Issadykov, Aidos

A2 - Verkheev, Alexander

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T2 - 23rd International Scientific Conference of Young Scientists and Specialists, AYSS 2019

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Arias C, Diaz F, Sundell P. Gibbons-Hawking entropy as entanglement entropy. In Aparin A, Bobrikov I, Chudoba V, Derenovskaya O, Dolzhikov A, Issadykov A, Verkheev A, editors, Proceedings of the 23rd International Scientific Conference of Young Scientists and Specialists, AYSS 2019. American Institute of Physics Inc. 2019. 090002. (AIP Conference Proceedings). doi: 10.1063/1.5130124

Gibbons-Hawking entropy as entanglement entropy

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