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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2511.15666 |
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| _version_ | 1866911346281414656 |
|---|---|
| author | Park, Jaeha |
| author_facet | Park, Jaeha |
| contents | We consider complex, supersymmetric, non-extremal Euclidean black holes that are asymptotically locally AdS$_5$, with $S^1 \times M_3$ conformal boundary. We study field theory backgrounds consisting of various $M_3$, and explicitly construct Killing spinors that are anti-periodic around the Euclidean time circle. Focussing on elliptically/biaxially squashed three-spheres and Lens spaces, we compute the supersymmetric index of the $\mathcal{N}=4$ SYM in a Cardy-like limit. While such black holes have not been constructed for general $M_3$, we show that our field theory results can be recovered from a gravity computation using equivariant localization, just assuming the solutions exist. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_15666 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Localizing AlAdS$_5$ black holes and the SUSY index on $S^1 \times M_3$ Park, Jaeha High Energy Physics - Theory We consider complex, supersymmetric, non-extremal Euclidean black holes that are asymptotically locally AdS$_5$, with $S^1 \times M_3$ conformal boundary. We study field theory backgrounds consisting of various $M_3$, and explicitly construct Killing spinors that are anti-periodic around the Euclidean time circle. Focussing on elliptically/biaxially squashed three-spheres and Lens spaces, we compute the supersymmetric index of the $\mathcal{N}=4$ SYM in a Cardy-like limit. While such black holes have not been constructed for general $M_3$, we show that our field theory results can be recovered from a gravity computation using equivariant localization, just assuming the solutions exist. |
| title | Localizing AlAdS$_5$ black holes and the SUSY index on $S^1 \times M_3$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2511.15666 |