An algebra of observables for de Sitter space

Venkatesa Chandrasekaran; Roberto Longo; Geoff Penington; Edward Witten

doi:10.1007/JHEP02(2023)082

An algebra of observables for de Sitter space

Venkatesa Chandrasekaran, Roberto Longo, Geoff Penington, Edward Witten

Physics

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

9 Scopus citations

Abstract

We describe an algebra of observables for a static patch in de Sitter space, with operators gravitationally dressed to the worldline of an observer. The algebra is a von Neumann algebra of Type II₁. There is a natural notion of entropy for a state of such an algebra. There is a maximum entropy state, which corresponds to empty de Sitter space, and the entropy of any semiclassical state of the Type II₁ algebras agrees, up to an additive constant independent of the state, with the expected generalized entropy S_gen = (A/4G_N) + S_out. An arbitrary additive constant is present because of the renormalization that is involved in defining entropy for a Type II₁ algebra.

Original language	English (US)
Article number	82
Journal	Journal of High Energy Physics
Volume	2023
Issue number	2
DOIs	https://doi.org/10.1007/JHEP02(2023)082
State	Published - Feb 2023

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Keywords

Cosmological models
de Sitter space

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10.1007/JHEP02(2023)082

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title = "An algebra of observables for de Sitter space",

abstract = "We describe an algebra of observables for a static patch in de Sitter space, with operators gravitationally dressed to the worldline of an observer. The algebra is a von Neumann algebra of Type II1. There is a natural notion of entropy for a state of such an algebra. There is a maximum entropy state, which corresponds to empty de Sitter space, and the entropy of any semiclassical state of the Type II1 algebras agrees, up to an additive constant independent of the state, with the expected generalized entropy Sgen = (A/4GN) + Sout. An arbitrary additive constant is present because of the renormalization that is involved in defining entropy for a Type II1 algebra.",

keywords = "Cosmological models, de Sitter space",

author = "Venkatesa Chandrasekaran and Roberto Longo and Geoff Penington and Edward Witten",

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AU - Chandrasekaran, Venkatesa

AU - Longo, Roberto

AU - Penington, Geoff

AU - Witten, Edward

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N2 - We describe an algebra of observables for a static patch in de Sitter space, with operators gravitationally dressed to the worldline of an observer. The algebra is a von Neumann algebra of Type II1. There is a natural notion of entropy for a state of such an algebra. There is a maximum entropy state, which corresponds to empty de Sitter space, and the entropy of any semiclassical state of the Type II1 algebras agrees, up to an additive constant independent of the state, with the expected generalized entropy Sgen = (A/4GN) + Sout. An arbitrary additive constant is present because of the renormalization that is involved in defining entropy for a Type II1 algebra.

AB - We describe an algebra of observables for a static patch in de Sitter space, with operators gravitationally dressed to the worldline of an observer. The algebra is a von Neumann algebra of Type II1. There is a natural notion of entropy for a state of such an algebra. There is a maximum entropy state, which corresponds to empty de Sitter space, and the entropy of any semiclassical state of the Type II1 algebras agrees, up to an additive constant independent of the state, with the expected generalized entropy Sgen = (A/4GN) + Sout. An arbitrary additive constant is present because of the renormalization that is involved in defining entropy for a Type II1 algebra.

KW - Cosmological models

KW - de Sitter space

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

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An algebra of observables for de Sitter space

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