One-loop corrections to near extremal Kerr thermodynamics from semiclassical Virasoro blocks
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866915073974337536 |
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| author | Arnaudo, Paolo Bonelli, Giulio Tanzini, Alessandro |
| author_facet | Arnaudo, Paolo Bonelli, Giulio Tanzini, Alessandro |
| contents | We propose a method to perform an exact calculation of one-loop quantum corrections to black hole entropy in terms of Virasoro semiclassical blocks. We analyse in detail four-dimensional Kerr black hole and show that in the near-extremal limit a branch of long-lived modes arises. We prove that the contribution of these modes accounts for a $(s-1/2)\log T_{\text{Hawking}}$ correction to the entropy for massless particles of spin $s=1,2$. We show that in the full calculation performed in the exact Kerr background the leading contribution actually is sourced by the near-horizon region only, and as such has a universal validity for any asymptotic behavior at infinity. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_16057 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | One-loop corrections to near extremal Kerr thermodynamics from semiclassical Virasoro blocks Arnaudo, Paolo Bonelli, Giulio Tanzini, Alessandro High Energy Physics - Theory General Relativity and Quantum Cosmology We propose a method to perform an exact calculation of one-loop quantum corrections to black hole entropy in terms of Virasoro semiclassical blocks. We analyse in detail four-dimensional Kerr black hole and show that in the near-extremal limit a branch of long-lived modes arises. We prove that the contribution of these modes accounts for a $(s-1/2)\log T_{\text{Hawking}}$ correction to the entropy for massless particles of spin $s=1,2$. We show that in the full calculation performed in the exact Kerr background the leading contribution actually is sourced by the near-horizon region only, and as such has a universal validity for any asymptotic behavior at infinity. |
| title | One-loop corrections to near extremal Kerr thermodynamics from semiclassical Virasoro blocks |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2412.16057 |