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An algebra of observables for de Sitter space

Jun 21, 2022

56 pages

Published in:

JHEP 02 (2023) 082

Published: Feb 7, 2023

e-Print:

2206.10780 [hep-th]

DOI:

10.1007/JHEP02(2023)082

View in:

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Abstract: (Springer)

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 II

_{1}

. 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 II

_{1}

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 II

_{1}

algebra.

Note:

54 pages, v2: added references, v3,v4: minor corrections, v5: correction at end of section 2.4

Cosmological models
de Sitter space
space: de Sitter
algebra: von Neumann
entropy
semiclassical
gravitation
renormalization

References(57)

Figures(4)

Black holes and the second law

J.D. Bekenstein
(
- Princeton U.
)

- Lett.Nuovo Cim. 4 (1972) 737-740
•
DOI:
- 10.1007/BF02757029

[2]

Particle Creation by Black Holes

S.W. Hawking
(
- Cambridge U., DAMTP and
- Caltech
)

- Commun.Math.Phys. 43 (1975) 199-220,
- Commun.Math.Phys. 46 (1976) 206 (erratum),
•
DOI:
- 10.1007/BF02345020

Cosmological Event Horizons, Thermodynamics, and Particle Creation

G.W. Gibbons
(
- Cambridge U.
)
,
S.W. Hawking
(
- Cambridge U.
)

- Phys.Rev.D 15 (1977) 2738-2751
•
DOI:
- 10.1103/PhysRevD.15.2738

[4]

Interacting Relativistic Boson Fields in the de Sitter Universe with Two Space-Time Dimensions

- Commun.Math.Phys. 44 (1975) 265-278
•
DOI:
- 10.1007/BF01609830

The entropy of Hawking radiation

- Rev.Mod.Phys. 93 (2021) 3, 035002
•
e-Print:
- 2006.06872
•
DOI:
- 10.1103/RevModPhys.93.035002

[6]

Positive vacuum energy and the N bound

Raphael Bousso
(
- UC, Santa Barbara
)

- JHEP 11 (2000) 038
•
e-Print:
- hep-th/0010252
•
DOI:
- 10.1088/1126-6708/2000/11/038

[7]

Bekenstein bounds in de Sitter and flat space

Raphael Bousso
(
- UC, Santa Barbara and
- Santa Barbara, KITP
)

- JHEP 04 (2001) 035
•
e-Print:
- hep-th/0012052
•
DOI:
- 10.1088/1126-6708/2001/04/035

[8]

Cosmological breaking of supersymmetry?

Tom Banks
(
- UC, Santa Cruz
)

- Int.J.Mod.Phys.A 16 (2001) 910-921,
•
e-Print:
- hep-th/0007146
•
DOI:
- 10.1142/S0217751X01003998

M theory observables for cosmological space-times

Tom Banks
(
- UC, Santa Cruz
)
,
W. Fischler
(
- Texas U.
)

e-Print:
- hep-th/0102077

Some thoughts on the quantum theory of stable de Sitter space

T. Banks
(
- Rutgers U., Piscataway and
- UC, Santa Cruz
)

e-Print:
- hep-th/0503066

[11]

Towards a quantum theory of de Sitter space

Tom Banks
(
- UC, Santa Cruz and
- Rutgers U., Piscataway
)
,
Bartomeu Fiol
(
- Amsterdam U.
)
,
Alexander Morisse
(
- UC, Santa Cruz
)

- JHEP 12 (2006) 004
•
e-Print:
- hep-th/0609062
•
DOI:
- 10.1088/1126-6708/2006/12/004

[12]

The holographic spacetime model of cosmology

Tom Banks
(
- Rutgers U., Piscataway
)
,
W. Fischler
(
- Texas U.
)

- Int.J.Mod.Phys.D 27 (2018) 14, 1846005
•
e-Print:
- 1806.01749
•
DOI:
- 10.1142/S0218271818460057

De Sitter Holography: Fluctuations, Anomalous Symmetry, and Wormholes

Leonard Susskind
(
- Stanford U., Phys. Dept.
)

- Universe 7 (2021) 12, 464
•
e-Print:
- 2106.03964
•
DOI:
- 10.3390/universe7120464

Black Holes Hint towards De Sitter Matrix Theory

Leonard Susskind
(
- Stanford U., Phys. Dept. and
- Google Inc.
)

- Universe 9 (2023) 8, 368
•
e-Print:
- 2109.01322
•
DOI:
- 10.3390/universe9080368

Upper bound for entropy in asymptotically de Sitter space-time

Kengo Maeda
(
- Tokyo Inst. Tech.
)
,
Tatsuhiko Koike
(
- Keio U.
)
,
Makoto Narita
(
- Rikkyo U.
)
,
Akihiro Ishibashi
(
- Tokyo Inst. Tech.
)

- Phys.Rev.D 57 (1998) 3503-3508
•
e-Print:
- gr-qc/9712029
•
DOI:
- 10.1103/PhysRevD.57.3503

[16]

Quantum theory of scalar field in De Sitter space-time

NA Chernikov
,
EA Tagirov

- Annales Henri Poincaré IX (1968) 109

[17]

Conditions d'unicité pour le propagateur ∆$_{1}$(x

C. Schomblond
,
P. Spindel

[17]

y) du champ scalaire dans l'univers de de Sitter, Annales Henri Poincaré XXV 67

C. Schomblond
,
P. Spindel

[18]

Quantum Field Theory in de Sitter Space: Renormalization by Point Splitting

T.S. Bunch
(
- King's Coll. London
)
,
P.C.W. Davies
(
- King's Coll. London
)

- Proc.Roy.Soc.Lond.A 360 (1978) 117-134
•
DOI:
- 10.1098/rspa.1978.0060

Particle Creation in de Sitter Space

E. Mottola
(
- Santa Barbara, KITP
)

- Phys.Rev.D 31 (1985) 754
•
DOI:
- 10.1103/PhysRevD.31.754

Vacuum States in de Sitter Space

Bruce Allen
(
- UC, Santa Barbara
)

- Phys.Rev.D 32 (1985) 3136
•
DOI:
- 10.1103/PhysRevD.32.3136

[21]

Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions

Dionysios Anninos
(
- King's Coll. London
)
,
Frederik Denef
(
- Columbia U.
)
,
Y.T. Albert Law
(
- Columbia U.
)
,
Zimo Sun
(
- Columbia U.
)

- JHEP 01 (2022) 088
•
e-Print:
- 2009.12464
•
DOI:
- 10.1007/JHEP01(2022)088

[22]

De Sitter Holography and Entanglement Entropy

Xi Dong
(
- UC, Santa Barbara
)
,
Eva Silverstein
(
- Stanford U., ITP
)
,
Gonzalo Torroba
(
- Centro Atomico Bariloche
)

- JHEP 07 (2018) 050
•
e-Print:
- 1804.08623
•
DOI:
- 10.1007/JHEP07(2018)050

Infinite Temperature's Not So Hot

e-Print:
- 2206.01083

Causal connectability between quantum systems and the black hole interior in holographic duality

- Phys.Rev.D 108 (2023) 8, 086019
•
e-Print:
- 2110.05497
•
DOI:
- 10.1103/PhysRevD.108.086019

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