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Logarithmic corrections, entanglement entropy, and UV cutoffs in de Sitter spacetime

Arenas-Henriquez, Gabriel; Diaz, Felipe; Sundell, Per

Logarithmic corrections, entanglement entropy, and UV cutoffs in de Sitter spacetime Thumbnail


Felipe Diaz

Per Sundell


It has been argued that the entropy of de Sitter space corresponds to the entanglement between disconnected regions computable by switching on a replica parameter q modeled by the quotient dS/ℤq. Within this framework, we show that the centrally-extended asymptotic symmetry algebra near the cosmic horizon is a single copy of the Virasoro algebra. The resulting density of states matches the semi-classical result of Gibbons and Hawking up to an undetermined constant that is chosen to reproduce the entanglement entropy previously found in the literature. It follows that the logarithmic quantum corrections to the Cardy entropy reproduces the known one-loop result computed in the bulk in the presence of a cutoff. The resulting entanglement entropy follows the divergent area law, where the UV cutoff is now a function of the replica parameter. Thus, as the near-horizon CFT fixes the cutoff in units of the Planck scale, the model can be viewed as a probe into whether the defect Hilbert space has a finite dimension; indeed, the limit q → 0, reproduces Banks’ formula. We also study the quantum corrections of the effective description of the horizon entropy by means of Liouville field theory, where the large q limit corresponds to a realization of dS3/CFT2 correspondence matching the logarithmic corrections to three-dimensional de Sitter space obtained by computing the one-loop contribution to the quantum gravity partition function in the round three-sphere.


Arenas-Henriquez, G., Diaz, F., & Sundell, P. (2022). Logarithmic corrections, entanglement entropy, and UV cutoffs in de Sitter spacetime. Journal of High Energy Physics, 2022(8), Article 261.

Journal Article Type Article
Acceptance Date Aug 2, 2022
Online Publication Date Aug 25, 2022
Publication Date 2022
Deposit Date Sep 13, 2022
Publicly Available Date Sep 13, 2022
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Electronic ISSN 1029-8479
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2022
Issue 8
Article Number 261


Published Journal Article (587 Kb)

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Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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