An algebra of observables for de Sitter space

Journal of High Energy Physics

Regular Article - Theoretical Physics

Roberto Longo¹  Venkatesa Chandrasekaran²  Edward Witten²  Geoff Penington³ 

[1] Dipartimento di Matematica, Universita di Roma “Tor Vergata”, Via della Ricerca Scientifica, 1, I-00133, Roma, Italy;School of Natural Sciences, Institute for Advanced Study, 1 Einstein Drive, 08540, Princeton, NJ, USA;School of Natural Sciences, Institute for Advanced Study, 1 Einstein Drive, 08540, Princeton, NJ, USA;Center for Theoretical Physics and Department of Physics, University of California, 94720, Berkeley, CA, USA;

关键词: Cosmological models;    de Sitter space;   

DOI  :  10.1007/JHEP02(2023)082

 received in 2022-11-15, accepted in 2023-01-11,  发布年份 2023

来源: Springer

【 摘 要 】

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 II1. 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 II1 algebras agrees, up to an additive constant independent of the state, with the expected generalized entropy Sgen = (A/4GN) + Sout. An arbitrary additive constant is present because of the renormalization that is involved in defining entropy for a Type II1 algebra.

【 授权许可】

Unknown   
© The Author(s) 2023