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...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-08-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2024)190 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850129648973774848 |
|---|---|
| author | Akihiro Miyata Masahiro Nozaki Kotaro Tamaoka Masataka Watanabe |
| author_facet | Akihiro Miyata Masahiro Nozaki Kotaro Tamaoka Masataka Watanabe |
| author_sort | Akihiro Miyata |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-9a52d4fec1e04faba0779a73eb0360ef |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-9a52d4fec1e04faba0779a73eb0360ef2025-08-20T02:32:54ZengSpringerOpenJournal of High Energy Physics1029-84792024-08-012024813710.1007/JHEP08(2024)190Hawking-Page and entanglement phase transition in 2d CFT on curved backgroundsAkihiro Miyata0Masahiro Nozaki1Kotaro Tamaoka2Masataka Watanabe3Kavli Institute for Theoretical Sciences, University of Chinese Academy of SciencesKavli Institute for Theoretical Sciences, University of Chinese Academy of SciencesDepartment of Physics, College of Humanities and Sciences, Nihon UniversityGraduate School of Informatics, Nagoya UniversityAbstract 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.https://doi.org/10.1007/JHEP08(2024)190AdS-CFT CorrespondenceBlack Holes |
| spellingShingle | Akihiro Miyata Masahiro Nozaki Kotaro Tamaoka Masataka Watanabe Hawking-Page and entanglement phase transition in 2d CFT on curved backgrounds Journal of High Energy Physics AdS-CFT Correspondence Black Holes |
| title | Hawking-Page and entanglement phase transition in 2d CFT on curved backgrounds |
| title_full | Hawking-Page and entanglement phase transition in 2d CFT on curved backgrounds |
| title_fullStr | Hawking-Page and entanglement phase transition in 2d CFT on curved backgrounds |
| title_full_unstemmed | Hawking-Page and entanglement phase transition in 2d CFT on curved backgrounds |
| title_short | Hawking-Page and entanglement phase transition in 2d CFT on curved backgrounds |
| title_sort | hawking page and entanglement phase transition in 2d cft on curved backgrounds |
| topic | AdS-CFT Correspondence Black Holes |
| url | https://doi.org/10.1007/JHEP08(2024)190 |
| work_keys_str_mv | AT akihiromiyata hawkingpageandentanglementphasetransitionin2dcftoncurvedbackgrounds AT masahironozaki hawkingpageandentanglementphasetransitionin2dcftoncurvedbackgrounds AT kotarotamaoka hawkingpageandentanglementphasetransitionin2dcftoncurvedbackgrounds AT masatakawatanabe hawkingpageandentanglementphasetransitionin2dcftoncurvedbackgrounds |