Stretched horizon, replica trick and off-shell winding condensate, and all that
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| Format: | Preprint |
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2024
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| _version_ | 1866915344192372736 |
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| author | Halder, Indranil Jafferis, Daniel L. |
| author_facet | Halder, Indranil Jafferis, Daniel L. |
| contents | $α'$ corrections to near-horizon dynamics of a Schwarzschild black hole in a large number of spacetime dimensions $D$ are governed by the worldsheet theory composed of the cigar CFT and the classical sigma model on the sphere at the horizon, along with a timelike-Liouville theory of central charge $26-D$. At leading order in weak string coupling, blackhole thermodynamics is insensitive to the details of timelike Liouville theory. In this limit, we use Lewkowycz-Maldacena-trick motivated infinitesimally off-shell closed string worldsheet formalism in [arxiv: 2310.02313] to calculate thermal entropy exactly in $α'$. The leading term in $α'\to 0$ limit and the first stringy correction of our result are in precise agreement with the target space Callan-Myers-Perry formula. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_00932 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stretched horizon, replica trick and off-shell winding condensate, and all that Halder, Indranil Jafferis, Daniel L. High Energy Physics - Theory $α'$ corrections to near-horizon dynamics of a Schwarzschild black hole in a large number of spacetime dimensions $D$ are governed by the worldsheet theory composed of the cigar CFT and the classical sigma model on the sphere at the horizon, along with a timelike-Liouville theory of central charge $26-D$. At leading order in weak string coupling, blackhole thermodynamics is insensitive to the details of timelike Liouville theory. In this limit, we use Lewkowycz-Maldacena-trick motivated infinitesimally off-shell closed string worldsheet formalism in [arxiv: 2310.02313] to calculate thermal entropy exactly in $α'$. The leading term in $α'\to 0$ limit and the first stringy correction of our result are in precise agreement with the target space Callan-Myers-Perry formula. |
| title | Stretched horizon, replica trick and off-shell winding condensate, and all that |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2402.00932 |