Hawking-Page and entanglement phase transition in 2d CFT on curved backgrounds
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866929380294393856 |
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| author | Miyata, Akihiro Nozaki, Masahiro Tamaoka, Kotaro Watanabe, Masataka |
| author_facet | Miyata, Akihiro Nozaki, Masahiro Tamaoka, Kotaro Watanabe, Masataka |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_06121 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hawking-Page and entanglement phase transition in 2d CFT on curved backgrounds Miyata, Akihiro Nozaki, Masahiro Tamaoka, Kotaro Watanabe, Masataka High Energy Physics - Theory Strongly Correlated Electrons Quantum Physics 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. |
| title | Hawking-Page and entanglement phase transition in 2d CFT on curved backgrounds |
| topic | High Energy Physics - Theory Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2406.06121 |