One-Loop Correction to the AdS/BCFT Partition Function in the Three Dimensional Pure Gravity
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arXiv
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866915208394440704 |
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| author | Suzuki, Yu-ki |
| author_facet | Suzuki, Yu-ki |
| contents | We calculate the tree-level partition function of Euclidean BTZ black hole with the end of the world branes (ETW branes) for arbitrary tension and the one-loop partition function of Euclidean thermal $AdS_{3}$ in the presence of a tensionless ETW brane with the Neumann boundary condition. At the tree level, our results match with the previous ones in non-rotating cases, but at the one-loop level, our results contain unexpected terms, which contain the fluctuations of the ghost fields. However particularly in the case where the chemical potential is zero, we get a similar form as the original result in AdS/CFT case, but the exponent is slightly changed. In this case the ghost contribution looks going away and the partition function becomes physical in a sense that the coefficients of the expansion in powers of $q$ are positive, which means that the number of states at the level is always positive. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_00206 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | One-Loop Correction to the AdS/BCFT Partition Function in the Three Dimensional Pure Gravity Suzuki, Yu-ki High Energy Physics - Theory General Relativity and Quantum Cosmology We calculate the tree-level partition function of Euclidean BTZ black hole with the end of the world branes (ETW branes) for arbitrary tension and the one-loop partition function of Euclidean thermal $AdS_{3}$ in the presence of a tensionless ETW brane with the Neumann boundary condition. At the tree level, our results match with the previous ones in non-rotating cases, but at the one-loop level, our results contain unexpected terms, which contain the fluctuations of the ghost fields. However particularly in the case where the chemical potential is zero, we get a similar form as the original result in AdS/CFT case, but the exponent is slightly changed. In this case the ghost contribution looks going away and the partition function becomes physical in a sense that the coefficients of the expansion in powers of $q$ are positive, which means that the number of states at the level is always positive. |
| title | One-Loop Correction to the AdS/BCFT Partition Function in the Three Dimensional Pure Gravity |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2106.00206 |