Gibbons-Hawking entropy as entanglement entropy

Cesar Arias, Felipe Diaz, Per Sundell

Resultado de la investigación: Conference contribution

Resumen

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.

Idioma originalEnglish
Título de la publicación alojadaProceedings of the 23rd International Scientific Conference of Young Scientists and Specialists, AYSS 2019
EditoresAlexey Aparin, Ivan Bobrikov, Vratislav Chudoba, Olga Derenovskaya, Anton Dolzhikov, Aidos Issadykov, Alexander Verkheev
EditorialAmerican Institute of Physics Inc.
ISBN (versión digital)9780735419087
DOI
EstadoPublished - 22 oct 2019
Evento23rd International Scientific Conference of Young Scientists and Specialists, AYSS 2019 - Dubna, Russian Federation
Duración: 15 abr 201919 abr 2019

Serie de la publicación

NombreAIP Conference Proceedings
Volumen2163
ISSN (versión impresa)0094-243X
ISSN (versión digital)1551-7616

Conference

Conference23rd International Scientific Conference of Young Scientists and Specialists, AYSS 2019
PaísRussian Federation
CiudadDubna
Período15/04/1919/04/19

Huella dactilar

entropy
minimal surfaces
wedges
sectors
topology
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Citar esto

Arias, C., Diaz, F., & Sundell, P. (2019). Gibbons-Hawking entropy as entanglement entropy. En 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.. 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.",
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Arias, C, Diaz, F & Sundell, P 2019, Gibbons-Hawking entropy as entanglement entropy. En 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).

Resultado de la investigación: Conference contribution

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T1 - Gibbons-Hawking entropy as entanglement entropy

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AU - Diaz, Felipe

AU - Sundell, Per

PY - 2019/10/22

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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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A2 - Bobrikov, Ivan

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