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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | https://arxiv.org/abs/2510.17951 |
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| _version_ | 1866918347949473792 |
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| author | Seitz, Josef Urbach, Erez Y. |
| author_facet | Seitz, Josef Urbach, Erez Y. |
| contents | We discuss the correspondence between highly excited strings and black holes in the presence of angular momentum. At fixed imaginary angular velocity $ν$, we show that free strings exhibit a Hagedorn instability due to a thermal-winding mode turning tachyonic. This allows us to determine the exact Hagedorn temperature $β_H(ν)$ for bosonic, type II, and heterotic strings. Using the effective field theory for the thermal-winding mode around the $ν$-dependent background, we find a novel `rotating string star' saddle (perturbatively in the angular velocity) and study its properties. This configuration describes a self-gravitating bound state of highly excited rotating strings. As in the non-rotating case, the saddle is qualitatively shown to interpolate between the rotating strings phase and a rotating black hole. We also comment on the implications of these results for anti-de Sitter space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_17951 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A spin on Hagedorn temperatures and string stars Seitz, Josef Urbach, Erez Y. High Energy Physics - Theory We discuss the correspondence between highly excited strings and black holes in the presence of angular momentum. At fixed imaginary angular velocity $ν$, we show that free strings exhibit a Hagedorn instability due to a thermal-winding mode turning tachyonic. This allows us to determine the exact Hagedorn temperature $β_H(ν)$ for bosonic, type II, and heterotic strings. Using the effective field theory for the thermal-winding mode around the $ν$-dependent background, we find a novel `rotating string star' saddle (perturbatively in the angular velocity) and study its properties. This configuration describes a self-gravitating bound state of highly excited rotating strings. As in the non-rotating case, the saddle is qualitatively shown to interpolate between the rotating strings phase and a rotating black hole. We also comment on the implications of these results for anti-de Sitter space. |
| title | A spin on Hagedorn temperatures and string stars |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.17951 |