Svesko, Andrew;
Verheijden, Evita;
Verlinde, Erik P;
Visser, Manus R;
(2022)
Quasi-local energy and microcanonical entropy in two-dimensional nearly de Sitter gravity.
Journal of High Energy Physics
, 2022
(8)
, Article 75. 10.1007/JHEP08(2022)075.
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Abstract
We study the semi-classical thermodynamics of two-dimensional de Sitter space (dS2) in Jackiw-Teitelboim (JT) gravity coupled to conformal matter. We extend the quasi-local formalism of Brown and York to dS2, where a timelike boundary is introduced in the static patch to uniquely define conserved charges, including quasi-local energy. The boundary divides the static patch into two systems, a cosmological system and a black hole system, the former being unstable under thermal fluctuations while the latter is stable. A semi-classical quasi-local first law is derived, where the Gibbons–Hawking entropy is replaced by the generalized entropy. In the microcanonical ensemble the generalized entropy is stationary. Further, we show the on-shell Euclidean microcanonical action of a causal diamond in semi-classical JT gravity equals minus the generalized entropy of the diamond, hence extremization of the entropy follows from minimizing the action. Thus, we provide a first principles derivation of the island rule for U(1) symmetric dS2 backgrounds, without invoking the replica trick. We discuss the implications of our findings for static patch de Sitter holography.
| Type: | Article |
|---|---|
| Title: | Quasi-local energy and microcanonical entropy in two-dimensional nearly de Sitter gravity |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/JHEP08(2022)075 |
| Publisher version: | https://doi.org/10.1007/JHEP08(2022)075 |
| Language: | English |
| Additional information: | This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third-party material in this article are included in the Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ |
| Keywords: | Science & Technology, Physical Sciences, Physics, Particles & Fields, Physics, 2D Gravity, Gauge-Gravity Correspondence, Models of Quantum Gravity, BLACK-HOLE ENTROPY, NOETHER CHARGE, THERMODYNAMICS, FIELD |
| UCL classification: | UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy UCL > Provost and Vice Provost Offices > UCL BEAMS UCL |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10155105 |
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