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

• URL: http://arxiv.org/abs/2406.06121v1
• Date: Mon, 10 Jun 2024 09:16:21 GMT
• Title: Hawking-Page and entanglement phase transition in 2d CFT on curved backgrounds
• Authors: Akihiro Miyata, Masahiro Nozaki, Kotaro Tamaoka, Masataka Watanabe,
• Abstract summary: Two-dimensional conformal field theories ($2$d CFTs) on curved backgrounds are studied. By means of conformal mapping we study the equivalent system on flat space governed by the deformed Hamiltonian. We observe Hawking-Page like phase transition for the thermal and the entanglement entropy as we vary the background metric.
• Score: 1.374949083138427
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The thermodynamics and the entanglement properties of two-dimensional conformal field theories ($2$d 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.

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