One-loop partition function, gauge accessibility and spectra in AdS3 gravity
Abstract We continue the study of the one-loop partition function of AdS3 gravity with focus on the square-integrability condition on the fluctuating fields. In a previous work we found that the Brown-Henneaux boundary conditions follow directly from the L 2 condition. Here we rederive the partition...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2021)097 |
| _version_ | 1818363130331267072 |
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| author | Joel Acosta Alan Garbarz Andrés Goya Mauricio Leston |
| author_facet | Joel Acosta Alan Garbarz Andrés Goya Mauricio Leston |
| author_sort | Joel Acosta |
| collection | DOAJ |
| description | Abstract We continue the study of the one-loop partition function of AdS3 gravity with focus on the square-integrability condition on the fluctuating fields. In a previous work we found that the Brown-Henneaux boundary conditions follow directly from the L 2 condition. Here we rederive the partition function as a ratio of Laplacian determinants by performing a suitable decomposition of the metric fluctuations. We pay special attention to the asymptotics of the fields appearing in the partition function. We also show that in the usual computation using ghost fields for the de Donder gauge, such gauge condition is accessible precisely for square-integrable ghost fields. Finally, we compute the spectrum of the relevant Laplacians in thermal AdS3, in particular noticing that there are no isolated eigenvalues, only essential spectrum. This last result supports the analytic continuation approach of David, Gaberdiel and Gopakumar. The purely essential spectra found are consistent with the independent results of Lee and Delay of the essential spectrum of the TT rank-2 tensor Lichnerowickz Laplacian on asymptotically hyperbolic spaces. |
| first_indexed | 2024-12-13T21:43:35Z |
| format | Article |
| id | doaj.art-e14d7d6f5c8942e28dfa3c79e1d0708b |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T21:43:35Z |
| publishDate | 2021-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-e14d7d6f5c8942e28dfa3c79e1d0708b2022-12-21T23:30:29ZengSpringerOpenJournal of High Energy Physics1029-84792021-12-0120211212510.1007/JHEP12(2021)097One-loop partition function, gauge accessibility and spectra in AdS3 gravityJoel Acosta0Alan Garbarz1Andrés Goya2Mauricio Leston3Departamento de Matemática-FCEN-UBA & IMAS-CONICETDepartamento de Física-FCEN-UBA & IFIBA-CONICETInstituto de Astronomía y Física del Espacio (IAFE)Instituto de Astronomía y Física del Espacio (IAFE)Abstract We continue the study of the one-loop partition function of AdS3 gravity with focus on the square-integrability condition on the fluctuating fields. In a previous work we found that the Brown-Henneaux boundary conditions follow directly from the L 2 condition. Here we rederive the partition function as a ratio of Laplacian determinants by performing a suitable decomposition of the metric fluctuations. We pay special attention to the asymptotics of the fields appearing in the partition function. We also show that in the usual computation using ghost fields for the de Donder gauge, such gauge condition is accessible precisely for square-integrable ghost fields. Finally, we compute the spectrum of the relevant Laplacians in thermal AdS3, in particular noticing that there are no isolated eigenvalues, only essential spectrum. This last result supports the analytic continuation approach of David, Gaberdiel and Gopakumar. The purely essential spectra found are consistent with the independent results of Lee and Delay of the essential spectrum of the TT rank-2 tensor Lichnerowickz Laplacian on asymptotically hyperbolic spaces.https://doi.org/10.1007/JHEP12(2021)097Field Theories in Lower DimensionsGauge SymmetryModels of Quantum Gravity |
| spellingShingle | Joel Acosta Alan Garbarz Andrés Goya Mauricio Leston One-loop partition function, gauge accessibility and spectra in AdS3 gravity Journal of High Energy Physics Field Theories in Lower Dimensions Gauge Symmetry Models of Quantum Gravity |
| title | One-loop partition function, gauge accessibility and spectra in AdS3 gravity |
| title_full | One-loop partition function, gauge accessibility and spectra in AdS3 gravity |
| title_fullStr | One-loop partition function, gauge accessibility and spectra in AdS3 gravity |
| title_full_unstemmed | One-loop partition function, gauge accessibility and spectra in AdS3 gravity |
| title_short | One-loop partition function, gauge accessibility and spectra in AdS3 gravity |
| title_sort | one loop partition function gauge accessibility and spectra in ads3 gravity |
| topic | Field Theories in Lower Dimensions Gauge Symmetry Models of Quantum Gravity |
| url | https://doi.org/10.1007/JHEP12(2021)097 |
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