The holography of the 2D inhomogeneously deformed CFT
Abstract We systematically study inhomogeneous Hamiltonians in two-dimensional conformal field theories within the framework of the AdS/CFT correspondence by relating them to two-dimensional curved backgrounds. We propose a classification of inhomogeneous Hamiltonians based on the Virasoro coadjoint...
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SpringerOpen
2025-05-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP05(2025)161 |
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| author | Zhehan Li Zhifeng Li Jia Tian |
| author_facet | Zhehan Li Zhifeng Li Jia Tian |
| author_sort | Zhehan Li |
| collection | DOAJ |
| description | Abstract We systematically study inhomogeneous Hamiltonians in two-dimensional conformal field theories within the framework of the AdS/CFT correspondence by relating them to two-dimensional curved backgrounds. We propose a classification of inhomogeneous Hamiltonians based on the Virasoro coadjoint orbit. The corresponding bulk dual geometries are described by the generalized Bañados solutions, for which we introduce a generalized Roberts mapping to facilitate their study. Our classification provides previously underexplored classes of deformations, offering fresh insights into their holographic properties. Revisiting the well-known example of the Möbius Hamiltonian, we establish a connection to the 3D C-metric, which describes three-dimensional accelerating solutions. Furthermore, we extend our analysis to KdV-type asymptotic boundary conditions, revealing a broader class of solvable inhomogeneous Hamiltonians that are not linear combinations of Virasoro charges but instead involve KdV charges. |
| format | Article |
| id | doaj-art-c8a7dd0836374342a179165512a24424 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-c8a7dd0836374342a179165512a244242025-08-20T02:05:45ZengSpringerOpenJournal of High Energy Physics1029-84792025-05-012025515110.1007/JHEP05(2025)161The holography of the 2D inhomogeneously deformed CFTZhehan Li0Zhifeng Li1Jia Tian2State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Theoretical Physics, Shanxi UniversitySchool of Physics and Electronics Engineering, Shanxi UniversityState Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Theoretical Physics, Shanxi UniversityAbstract We systematically study inhomogeneous Hamiltonians in two-dimensional conformal field theories within the framework of the AdS/CFT correspondence by relating them to two-dimensional curved backgrounds. We propose a classification of inhomogeneous Hamiltonians based on the Virasoro coadjoint orbit. The corresponding bulk dual geometries are described by the generalized Bañados solutions, for which we introduce a generalized Roberts mapping to facilitate their study. Our classification provides previously underexplored classes of deformations, offering fresh insights into their holographic properties. Revisiting the well-known example of the Möbius Hamiltonian, we establish a connection to the 3D C-metric, which describes three-dimensional accelerating solutions. Furthermore, we extend our analysis to KdV-type asymptotic boundary conditions, revealing a broader class of solvable inhomogeneous Hamiltonians that are not linear combinations of Virasoro charges but instead involve KdV charges.https://doi.org/10.1007/JHEP05(2025)161AdS-CFT CorrespondenceConformal Field Models in String TheoryGauge-Gravity Correspondence |
| spellingShingle | Zhehan Li Zhifeng Li Jia Tian The holography of the 2D inhomogeneously deformed CFT Journal of High Energy Physics AdS-CFT Correspondence Conformal Field Models in String Theory Gauge-Gravity Correspondence |
| title | The holography of the 2D inhomogeneously deformed CFT |
| title_full | The holography of the 2D inhomogeneously deformed CFT |
| title_fullStr | The holography of the 2D inhomogeneously deformed CFT |
| title_full_unstemmed | The holography of the 2D inhomogeneously deformed CFT |
| title_short | The holography of the 2D inhomogeneously deformed CFT |
| title_sort | holography of the 2d inhomogeneously deformed cft |
| topic | AdS-CFT Correspondence Conformal Field Models in String Theory Gauge-Gravity Correspondence |
| url | https://doi.org/10.1007/JHEP05(2025)161 |
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