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| Autori principali: | , , , |
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| Natura: | Preprint |
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2026
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2604.15720 |
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| _version_ | 1866910138792673280 |
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| author | Dai, Huayu Fang, Xi-Hao Fujita, Mitsutoshi He, Song |
| author_facet | Dai, Huayu Fang, Xi-Hao Fujita, Mitsutoshi He, Song |
| contents | In this paper, we analyze the double Wick rotation of a rotating BTZ black hole and the entanglement entropy. We derive the transition matrix dual to the double Wick-rotated BTZ black hole, which has the usual shape at an imaginary chemical potential. In the dual gravity side, the double Wick rotated BTZ black hole, which is obtained as a quotient, is equal to a rotating BTZ black hole after the coordinate transformation and the identification of periodicity. The geometric entropy and time-like entanglement entropy are reproduced by the identification. New Lorentzian entanglement growth is defined by the coefficient of linear growth of time-like entanglement entropy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_15720 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Geometric entropy and time-like entanglement entropy on a rotating BTZ black hole Dai, Huayu Fang, Xi-Hao Fujita, Mitsutoshi He, Song High Energy Physics - Theory In this paper, we analyze the double Wick rotation of a rotating BTZ black hole and the entanglement entropy. We derive the transition matrix dual to the double Wick-rotated BTZ black hole, which has the usual shape at an imaginary chemical potential. In the dual gravity side, the double Wick rotated BTZ black hole, which is obtained as a quotient, is equal to a rotating BTZ black hole after the coordinate transformation and the identification of periodicity. The geometric entropy and time-like entanglement entropy are reproduced by the identification. New Lorentzian entanglement growth is defined by the coefficient of linear growth of time-like entanglement entropy. |
| title | Geometric entropy and time-like entanglement entropy on a rotating BTZ black hole |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2604.15720 |