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

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 Ham...

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Bibliographic Details
Published in:Journal of High Energy Physics
Main Authors: Akihiro Miyata, Masahiro Nozaki, Kotaro Tamaoka, Masataka Watanabe
Format: Article
Language:English
Published: SpringerOpen 2024-08-01
Subjects:
AdS-CFT Correspondence
Black Holes
Online Access:https://doi.org/10.1007/JHEP08(2024)190
Description
Summary: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.
ISSN:1029-8479

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