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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.14567 |
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| _version_ | 1866918026099556352 |
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| author | Ferko, Christian Murthy, Sameer Rangamani, Mukund |
| author_facet | Ferko, Christian Murthy, Sameer Rangamani, Mukund |
| contents | We revisit the computation of the string partition function in AdS$_3$ focussing on the appearance of spacetime (super) symmetries. We show how the asymptotic symmetries of the AdS$_3$ spacetime, which generate the boundary (super) Virasoro currents, are captured by the one-loop partition sum. We use this to argue that the recent understanding of near-extremal black hole thermodynamics based on the gravitational path integral continues to hold for finite string length. Along the way we clarify some aspects of the AdS$_3$/CFT$_2$ duality and, in particular, deduce which bulk gauge fields lead to boundary currents. We also explain how one can interpolate between supersymmetric and thermal (Atick-Witten) fermion boundary conditions in the target space by suitably tuning rotational chemical potentials in the string partition function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_14567 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strings in AdS$_3$: one-loop partition function and near-extremal BTZ thermodynamics Ferko, Christian Murthy, Sameer Rangamani, Mukund High Energy Physics - Theory We revisit the computation of the string partition function in AdS$_3$ focussing on the appearance of spacetime (super) symmetries. We show how the asymptotic symmetries of the AdS$_3$ spacetime, which generate the boundary (super) Virasoro currents, are captured by the one-loop partition sum. We use this to argue that the recent understanding of near-extremal black hole thermodynamics based on the gravitational path integral continues to hold for finite string length. Along the way we clarify some aspects of the AdS$_3$/CFT$_2$ duality and, in particular, deduce which bulk gauge fields lead to boundary currents. We also explain how one can interpolate between supersymmetric and thermal (Atick-Witten) fermion boundary conditions in the target space by suitably tuning rotational chemical potentials in the string partition function. |
| title | Strings in AdS$_3$: one-loop partition function and near-extremal BTZ thermodynamics |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.14567 |