Finite features of quantum de Sitter space

TY - JOUR

T1 - Finite features of quantum de Sitter space

AU - Anninos, Dionysios

AU - Galante, Damian A.

AU - Muhlmann, Beatrix

N1 - Funding Information: It is a pleasure to acknowledge Tarek Anous, Costas Bachas, Pietro Benetti Genolini, Frederik Denef, Diego Hofman, Sameer Murthy, Luigi Tizzano, and David Vegh for useful discussions. D A is funded by the Royal Society under the grant The Atoms of a deSitter Universe. The work of D A G is funded by a UKRI Stephen Hawking Fellowship. B M is supported in part by the Simons Foundation Grant No. 385602 and the Natural Sciences and Engineering Research Council of Canada (NSERC), funding reference number SAPIN/00047-2020. Publisher Copyright: © 2022 The Author(s).

PY - 2023/1/19

Y1 - 2023/1/19

N2 - We consider degrees of freedom for a quantum de Sitter spacetime. The problem is studied from both a Lorentzian and a Euclidean perspective. From a Lorentzian perspective, we compute dynamical properties of the static patch de Sitter horizon. These are compared to dynamical features of a black hole. We point out differences suggestive of non-standard thermal behaviour for the de Sitter horizon. We establish that geometries interpolating between an asymptotically AdS2 ×S2 space and a dS4 interior are compatible with the null energy condition, albeit with a non-standard decreasing radial size of S2. The putative holographic dual of an asymptotic AdS2 spacetime is comprised of a finite number of underlying degrees of freedom. From a Euclidean perspective we consider the gravitational path integral for fields over compact manifolds. In two-dimensions, we review Polchinski's BRST localisation of Liouville theory and propose a supersymmetric extension of timelike Liouville theory which exhibits supersymmetric localisation. We speculate that localisation of the Euclidean gravitational path integral is a reflection of a finite number of degrees of freedom in a quantum de Sitter Universe.

AB - We consider degrees of freedom for a quantum de Sitter spacetime. The problem is studied from both a Lorentzian and a Euclidean perspective. From a Lorentzian perspective, we compute dynamical properties of the static patch de Sitter horizon. These are compared to dynamical features of a black hole. We point out differences suggestive of non-standard thermal behaviour for the de Sitter horizon. We establish that geometries interpolating between an asymptotically AdS2 ×S2 space and a dS4 interior are compatible with the null energy condition, albeit with a non-standard decreasing radial size of S2. The putative holographic dual of an asymptotic AdS2 spacetime is comprised of a finite number of underlying degrees of freedom. From a Euclidean perspective we consider the gravitational path integral for fields over compact manifolds. In two-dimensions, we review Polchinski's BRST localisation of Liouville theory and propose a supersymmetric extension of timelike Liouville theory which exhibits supersymmetric localisation. We speculate that localisation of the Euclidean gravitational path integral is a reflection of a finite number of degrees of freedom in a quantum de Sitter Universe.

KW - quantum

KW - de Sitter

KW - finiteness

KW - gravity

KW - cosmology

UR - http://www.scopus.com/inward/record.url?scp=85149206967&partnerID=8YFLogxK

U2 - 10.1088/1361-6382/acaba5

DO - 10.1088/1361-6382/acaba5

M3 - Article

SN - 0264-9381

VL - 40

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 2

M1 - 025009

ER -