Allowable Complex Black Holes in the Euclidean Gravitational Path Integral
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911444270841856 |
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| author | Krishna, Vineeth Larsen, Finn |
| author_facet | Krishna, Vineeth Larsen, Finn |
| contents | The Euclidean Gravitational Path Integral has proven remarkably effective in the quantum regime of black hole physics. In this work, we examine the applicability of the Kontsevich-Segal-Witten (KSW) criterion for admissible complex metrics in the context of the Euclidean Gravitational Path Integral. We find that, for the super-conformal index of ${\cal N}=4$ SYM with unequal angular momenta, the black hole saddle points violate the KSW criterion precisely where the statistical description of the index breaks down. The corresponding critical point coincides with a phase transition into two-component ``grey galaxy'' configurations in the micro-canonical ensemble. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_05979 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Allowable Complex Black Holes in the Euclidean Gravitational Path Integral Krishna, Vineeth Larsen, Finn High Energy Physics - Theory The Euclidean Gravitational Path Integral has proven remarkably effective in the quantum regime of black hole physics. In this work, we examine the applicability of the Kontsevich-Segal-Witten (KSW) criterion for admissible complex metrics in the context of the Euclidean Gravitational Path Integral. We find that, for the super-conformal index of ${\cal N}=4$ SYM with unequal angular momenta, the black hole saddle points violate the KSW criterion precisely where the statistical description of the index breaks down. The corresponding critical point coincides with a phase transition into two-component ``grey galaxy'' configurations in the micro-canonical ensemble. |
| title | Allowable Complex Black Holes in the Euclidean Gravitational Path Integral |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2602.05979 |