The Hilbert space of de Sitter quantum gravity
Abstract We obtain solutions of the Wheeler-DeWitt equation with positive cosmological constant for a closed universe in the large-volume limit. We argue that this space of solutions provides a complete basis for the Hilbert space of quantum gravity in an asymptotically de Sitter spacetime. Our solu...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2024)132 |
| _version_ | 1797340387714531328 |
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| author | Tuneer Chakraborty Joydeep Chakravarty Victor Godet Priyadarshi Paul Suvrat Raju |
| author_facet | Tuneer Chakraborty Joydeep Chakravarty Victor Godet Priyadarshi Paul Suvrat Raju |
| author_sort | Tuneer Chakraborty |
| collection | DOAJ |
| description | Abstract We obtain solutions of the Wheeler-DeWitt equation with positive cosmological constant for a closed universe in the large-volume limit. We argue that this space of solutions provides a complete basis for the Hilbert space of quantum gravity in an asymptotically de Sitter spacetime. Our solutions take the form of a universal phase factor multiplied by distinct diffeomorphism invariant functionals, with simple Weyl transformation properties, that obey the same Ward identities as a CFT partition function. The Euclidean vacuum corresponds to a specific choice of such a functional but other choices are equally valid. Each functional can be thought of as specifying a “theory” and, in this sense, the space of solutions is like “theory space”. We describe another basis for the Hilbert space where all states are represented as excitations of the vacuum that have a specific constrained structure. This gives the finite G N generalization of the basis proposed by Higuchi in terms of group averaging, which we recover in the nongravitational limit. |
| first_indexed | 2024-03-08T10:02:22Z |
| format | Article |
| id | doaj.art-fc0fad45cf6244d986915b66ef34abbb |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T10:02:22Z |
| publishDate | 2024-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-fc0fad45cf6244d986915b66ef34abbb2024-01-29T10:53:34ZengSpringerOpenJournal of High Energy Physics1029-84792024-01-012024114510.1007/JHEP01(2024)132The Hilbert space of de Sitter quantum gravityTuneer Chakraborty0Joydeep Chakravarty1Victor Godet2Priyadarshi Paul3Suvrat Raju4International Centre for Theoretical Sciences (ICTS-TIFR), Tata Institute of Fundamental ResearchInternational Centre for Theoretical Sciences (ICTS-TIFR), Tata Institute of Fundamental ResearchInternational Centre for Theoretical Sciences (ICTS-TIFR), Tata Institute of Fundamental ResearchInternational Centre for Theoretical Sciences (ICTS-TIFR), Tata Institute of Fundamental ResearchInternational Centre for Theoretical Sciences (ICTS-TIFR), Tata Institute of Fundamental ResearchAbstract We obtain solutions of the Wheeler-DeWitt equation with positive cosmological constant for a closed universe in the large-volume limit. We argue that this space of solutions provides a complete basis for the Hilbert space of quantum gravity in an asymptotically de Sitter spacetime. Our solutions take the form of a universal phase factor multiplied by distinct diffeomorphism invariant functionals, with simple Weyl transformation properties, that obey the same Ward identities as a CFT partition function. The Euclidean vacuum corresponds to a specific choice of such a functional but other choices are equally valid. Each functional can be thought of as specifying a “theory” and, in this sense, the space of solutions is like “theory space”. We describe another basis for the Hilbert space where all states are represented as excitations of the vacuum that have a specific constrained structure. This gives the finite G N generalization of the basis proposed by Higuchi in terms of group averaging, which we recover in the nongravitational limit.https://doi.org/10.1007/JHEP01(2024)132de Sitter spaceConformal Field Models in String TheoryModels of Quantum GravitySpace-Time Symmetries |
| spellingShingle | Tuneer Chakraborty Joydeep Chakravarty Victor Godet Priyadarshi Paul Suvrat Raju The Hilbert space of de Sitter quantum gravity Journal of High Energy Physics de Sitter space Conformal Field Models in String Theory Models of Quantum Gravity Space-Time Symmetries |
| title | The Hilbert space of de Sitter quantum gravity |
| title_full | The Hilbert space of de Sitter quantum gravity |
| title_fullStr | The Hilbert space of de Sitter quantum gravity |
| title_full_unstemmed | The Hilbert space of de Sitter quantum gravity |
| title_short | The Hilbert space of de Sitter quantum gravity |
| title_sort | hilbert space of de sitter quantum gravity |
| topic | de Sitter space Conformal Field Models in String Theory Models of Quantum Gravity Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP01(2024)132 |
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