Geodesics, complexity and holography in (A)dS2

Damián A. Galante

Geodesics, complexity and holography in (A)dS₂

Damián A. Galante^*

^*Corresponding author for this work

Mathematics

King's College London

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

4 Citations (Scopus)

Abstract

We consider spacelike geodesics in two-dimensional spacetimes. In the case of the AdS₂ black hole, their length increases linearly with time for long times, compared to the inverse temperature. In dS₂, spacelike geodesics anchored at the same time, only exist at t = 0. To interpret this result holographically, we embed a patch of dS₂ inside an AdS₂ spacetime. In that case, geodesics only exist for a time of order the inverse temperature and their length decreases with time. We comment on possible implications of this result in terms of two-point correlators and holographic complexity.

Original language	English
Title of host publication	CORFU2021
Volume	406
Publication status	Published - 23 Nov 2022
Event	20th Hellenic School and Workshops on Elementary Particle Physics and Gravity, CORFU 2021 - Corfu, Greece Duration: 29 Aug 2021 → 9 Oct 2021

Publication series

Name	Proceedings of Science
Publisher	Sissa Medialab Srl
ISSN (Print)	1824-8039

Conference

Conference	20th Hellenic School and Workshops on Elementary Particle Physics and Gravity, CORFU 2021
Country/Territory	Greece
City	Corfu
Period	29/08/2021 → 9/10/2021

Cite this

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title = "Geodesics, complexity and holography in (A)dS2",

abstract = "We consider spacelike geodesics in two-dimensional spacetimes. In the case of the AdS2 black hole, their length increases linearly with time for long times, compared to the inverse temperature. In dS2, spacelike geodesics anchored at the same time, only exist at t = 0. To interpret this result holographically, we embed a patch of dS2 inside an AdS2 spacetime. In that case, geodesics only exist for a time of order the inverse temperature and their length decreases with time. We comment on possible implications of this result in terms of two-point correlators and holographic complexity.",

author = "Galante, {Dami{\'a}n A.}",

note = "Funding Information: David Kramer. We would like to also thank the organisers of the Workshop on Quantum Features in a de Sitter Universe for the opportunity to present these results. This work is funded by the Royal Society under the grant “The Resonances of a de Sitter Universe” and the ERC Consolidator Grant N. 681908, “Quantum black holes: A microscopic window into the microstructure of gravity”. Publisher Copyright: {\textcopyright} Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0); 20th Hellenic School and Workshops on Elementary Particle Physics and Gravity, CORFU 2021 ; Conference date: 29-08-2021 Through 09-10-2021",

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AU - Galante, Damián A.

N1 - Funding Information: David Kramer. We would like to also thank the organisers of the Workshop on Quantum Features in a de Sitter Universe for the opportunity to present these results. This work is funded by the Royal Society under the grant “The Resonances of a de Sitter Universe” and the ERC Consolidator Grant N. 681908, “Quantum black holes: A microscopic window into the microstructure of gravity”. Publisher Copyright: © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0)

PY - 2022/11/23

Y1 - 2022/11/23

N2 - We consider spacelike geodesics in two-dimensional spacetimes. In the case of the AdS2 black hole, their length increases linearly with time for long times, compared to the inverse temperature. In dS2, spacelike geodesics anchored at the same time, only exist at t = 0. To interpret this result holographically, we embed a patch of dS2 inside an AdS2 spacetime. In that case, geodesics only exist for a time of order the inverse temperature and their length decreases with time. We comment on possible implications of this result in terms of two-point correlators and holographic complexity.

AB - We consider spacelike geodesics in two-dimensional spacetimes. In the case of the AdS2 black hole, their length increases linearly with time for long times, compared to the inverse temperature. In dS2, spacelike geodesics anchored at the same time, only exist at t = 0. To interpret this result holographically, we embed a patch of dS2 inside an AdS2 spacetime. In that case, geodesics only exist for a time of order the inverse temperature and their length decreases with time. We comment on possible implications of this result in terms of two-point correlators and holographic complexity.

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M3 - Other chapter contribution

AN - SCOPUS:85143819597

VL - 406

T3 - Proceedings of Science

BT - CORFU2021

T2 - 20th Hellenic School and Workshops on Elementary Particle Physics and Gravity, CORFU 2021

Y2 - 29 August 2021 through 9 October 2021

ER -

Geodesics, complexity and holography in (A)dS₂

Abstract

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