Janus deformation of de Sitter space and transitions in gravitational algebras
Abstract We consider a time-dependent O 1 / G $$ \mathcal{O}\left(1/G\right) $$ deformation of pure de Sitter (dS) space in dS gravity coupled to a massless scalar field. It is the dS counterpart of the AdS Janus deformation and interpolates two asymptotically dS spaces in the far past and the far f...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-11-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP11(2024)094 |
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| author | Dongsu Bak Chanju Kim Sang-Heon Yi |
| author_facet | Dongsu Bak Chanju Kim Sang-Heon Yi |
| author_sort | Dongsu Bak |
| collection | DOAJ |
| description | Abstract We consider a time-dependent O 1 / G $$ \mathcal{O}\left(1/G\right) $$ deformation of pure de Sitter (dS) space in dS gravity coupled to a massless scalar field. It is the dS counterpart of the AdS Janus deformation and interpolates two asymptotically dS spaces in the far past and the far future with a single deformation parameter. The Penrose diagram can be elongated along the time direction indefinitely as the deformation becomes large. After studying the classical properties of the geometry such as the area theorem and the fluctuation by a matter field, we explore the algebraic structure of the field operators on the deformed spacetime. We argue that the algebra is a von Neumann factor of type II∞ for small deformations, but there occurs a transition to type I∞ as the deformation increases so that the neck region of the deformed space becomes a Lorentzian cylinder. |
| format | Article |
| id | doaj-art-0b56b245802e488aa7b2b0e2eb703183 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-0b56b245802e488aa7b2b0e2eb7031832024-12-08T12:09:50ZengSpringerOpenJournal of High Energy Physics1029-84792024-11-0120241111810.1007/JHEP11(2024)094Janus deformation of de Sitter space and transitions in gravitational algebrasDongsu Bak0Chanju Kim1Sang-Heon Yi2Physics Department & Natural Science Research Institute, University of SeoulDepartment of Physics, Ewha Womans UniversityCenter for Quantum Spacetime & Physics Department, Sogang UniversityAbstract We consider a time-dependent O 1 / G $$ \mathcal{O}\left(1/G\right) $$ deformation of pure de Sitter (dS) space in dS gravity coupled to a massless scalar field. It is the dS counterpart of the AdS Janus deformation and interpolates two asymptotically dS spaces in the far past and the far future with a single deformation parameter. The Penrose diagram can be elongated along the time direction indefinitely as the deformation becomes large. After studying the classical properties of the geometry such as the area theorem and the fluctuation by a matter field, we explore the algebraic structure of the field operators on the deformed spacetime. We argue that the algebra is a von Neumann factor of type II∞ for small deformations, but there occurs a transition to type I∞ as the deformation increases so that the neck region of the deformed space becomes a Lorentzian cylinder.https://doi.org/10.1007/JHEP11(2024)094Classical Theories of Gravityde Sitter spaceModels of Quantum GravitySpace-Time Symmetries |
| spellingShingle | Dongsu Bak Chanju Kim Sang-Heon Yi Janus deformation of de Sitter space and transitions in gravitational algebras Journal of High Energy Physics Classical Theories of Gravity de Sitter space Models of Quantum Gravity Space-Time Symmetries |
| title | Janus deformation of de Sitter space and transitions in gravitational algebras |
| title_full | Janus deformation of de Sitter space and transitions in gravitational algebras |
| title_fullStr | Janus deformation of de Sitter space and transitions in gravitational algebras |
| title_full_unstemmed | Janus deformation of de Sitter space and transitions in gravitational algebras |
| title_short | Janus deformation of de Sitter space and transitions in gravitational algebras |
| title_sort | janus deformation of de sitter space and transitions in gravitational algebras |
| topic | Classical Theories of Gravity de Sitter space Models of Quantum Gravity Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP11(2024)094 |
| work_keys_str_mv | AT dongsubak janusdeformationofdesitterspaceandtransitionsingravitationalalgebras AT chanjukim janusdeformationofdesitterspaceandtransitionsingravitationalalgebras AT sangheonyi janusdeformationofdesitterspaceandtransitionsingravitationalalgebras |