Radial canonical AdS3 gravity and T T ¯ $$ T\overline{T} $$
Abstract We employ an ADM deparametrization strategy to discuss the radial canonical formalism of asymptotically AdS3 gravity. It leads to the identification of a radial ‘time’ before quantization, which is the volume time, canonically conjugate to York time. Holographically, this allows to interpre...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)092 |
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| author | Matthew J. Blacker Nele Callebaut Blanca Hergueta Sirui Ning |
| author_facet | Matthew J. Blacker Nele Callebaut Blanca Hergueta Sirui Ning |
| author_sort | Matthew J. Blacker |
| collection | DOAJ |
| description | Abstract We employ an ADM deparametrization strategy to discuss the radial canonical formalism of asymptotically AdS3 gravity. It leads to the identification of a radial ‘time’ before quantization, which is the volume time, canonically conjugate to York time. Holographically, this allows to interpret the semi-classical path integral of T T ¯ $$ T\overline{T} $$ theory as a Schrödinger wavefunctional satisfying a Schrödinger evolution equation in volume time, and the T T ¯ $$ T\overline{T} $$ operator expectation value in terms of the Hamiltonian that generates volume time translations — both consistent with cut-off holography. We make use of the canonical perspective to construct the rotating BTZ solution from the Hamilton-Jacobi equation, with a finite cut-off energy spectrum that has a known holographic T T ¯ $$ T\overline{T} $$ interpretation, as well as semi-classical Wheeler-DeWitt states for that solution. |
| format | Article |
| id | doaj-art-0119cde8e5c540a68e0b6be86e0f61ca |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-0119cde8e5c540a68e0b6be86e0f61ca2025-02-09T12:07:32ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025114010.1007/JHEP01(2025)092Radial canonical AdS3 gravity and T T ¯ $$ T\overline{T} $$Matthew J. Blacker0Nele Callebaut1Blanca Hergueta2Sirui Ning3Department of Applied Mathematics and Theoretical Physics, University of CambridgeInstitute for Theoretical Physics, University of CologneInstitute for Theoretical Physics, University of CologneThe Rudolf Peierls Centre for Theoretical Physics, University of OxfordAbstract We employ an ADM deparametrization strategy to discuss the radial canonical formalism of asymptotically AdS3 gravity. It leads to the identification of a radial ‘time’ before quantization, which is the volume time, canonically conjugate to York time. Holographically, this allows to interpret the semi-classical path integral of T T ¯ $$ T\overline{T} $$ theory as a Schrödinger wavefunctional satisfying a Schrödinger evolution equation in volume time, and the T T ¯ $$ T\overline{T} $$ operator expectation value in terms of the Hamiltonian that generates volume time translations — both consistent with cut-off holography. We make use of the canonical perspective to construct the rotating BTZ solution from the Hamilton-Jacobi equation, with a finite cut-off energy spectrum that has a known holographic T T ¯ $$ T\overline{T} $$ interpretation, as well as semi-classical Wheeler-DeWitt states for that solution.https://doi.org/10.1007/JHEP01(2025)092Classical Theories of GravityGauge-Gravity CorrespondenceAdS-CFT CorrespondenceField Theories in Lower Dimensions |
| spellingShingle | Matthew J. Blacker Nele Callebaut Blanca Hergueta Sirui Ning Radial canonical AdS3 gravity and T T ¯ $$ T\overline{T} $$ Journal of High Energy Physics Classical Theories of Gravity Gauge-Gravity Correspondence AdS-CFT Correspondence Field Theories in Lower Dimensions |
| title | Radial canonical AdS3 gravity and T T ¯ $$ T\overline{T} $$ |
| title_full | Radial canonical AdS3 gravity and T T ¯ $$ T\overline{T} $$ |
| title_fullStr | Radial canonical AdS3 gravity and T T ¯ $$ T\overline{T} $$ |
| title_full_unstemmed | Radial canonical AdS3 gravity and T T ¯ $$ T\overline{T} $$ |
| title_short | Radial canonical AdS3 gravity and T T ¯ $$ T\overline{T} $$ |
| title_sort | radial canonical ads3 gravity and t t ¯ t overline t |
| topic | Classical Theories of Gravity Gauge-Gravity Correspondence AdS-CFT Correspondence Field Theories in Lower Dimensions |
| url | https://doi.org/10.1007/JHEP01(2025)092 |
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