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Modular Hamiltonian for de Sitter diamonds.
- Source :
-
Journal of High Energy Physics . Dec2023, Vol. 2023 Issue 12, p1-58. 58p. - Publication Year :
- 2023
-
Abstract
- We determine the Tomita-Takesaki modular data for CFTs in double cone and light cone regions in conformally flat spacetimes. This includes in particular the modular Hamiltonian for diamonds in the de Sitter spacetime. In the limit where the diamonds become large, we show that the modular automorphisms become time translations in the static patch. As preparation, we also provide a pedagogical rederivation of the known results for Minkowski spacetime. With our results and using the Araki formula, it becomes possible to compute relative entanglement entropies for CFTs in these regions. [ABSTRACT FROM AUTHOR]
- Subjects :
- *DIAMONDS
*LIGHT cones
*SPACE-time symmetries
*AUTOMORPHISMS
*SPACETIME
Subjects
Details
- Language :
- English
- ISSN :
- 11266708
- Volume :
- 2023
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- 174834660
- Full Text :
- https://doi.org/10.1007/JHEP12(2023)074