Hawking-Page and entanglement phase transition in 2d CFT on curved backgrounds

Autor: Akihiro Miyata, Masahiro Nozaki, Kotaro Tamaoka, Masataka Watanabe
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2024, Iss 8, Pp 1-37 (2024)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP08(2024)190
Popis: Abstract The thermodynamics and the entanglement properties of two-dimensional conformal field theories (2d CFTs) on curved backgrounds are studied. By means of conformal mapping we study the equivalent system on flat space governed by the deformed Hamiltonian, which is a spatial integral of the Hamiltonian density modulated by an enveloping function. Focusing on holographic CFTs, we observe Hawking-Page like phase transition for the thermal and the entanglement entropy as we vary the background metric. We also compute the mutual information to study the information theoretic correlation between parts of the curved spacetime. The gravity dual of 2d CFTs on curved background is also discussed.
Databáze: Directory of Open Access Journals