Quasinormal bulk-edge characters of gravitons in Nariai geometry
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866916785292312576 |
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| author | Mukherjee, Jyotirmoy |
| author_facet | Mukherjee, Jyotirmoy |
| contents | In this paper, we evaluate the character partition function of gravitons in the Nariai geometry using quasinormal modes. Employing the Denef-Hartnoll-Sachdev (DHS) prescription, we compute the bulk partition function from the spectrum of quasinormal frequencies. We demonstrate that the quasinormal partition function agrees with the bulk one-loop determinant of gravitons on $S^2 \times S^2$, as obtained via the heat kernel method. Furthermore, we isolate the contribution of the edge character from the full one-loop partition function on $S^2 \times S^2$, and provide remarks on the possible origin of this edge contribution in the quasinormal mode framework. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_07556 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasinormal bulk-edge characters of gravitons in Nariai geometry Mukherjee, Jyotirmoy High Energy Physics - Theory In this paper, we evaluate the character partition function of gravitons in the Nariai geometry using quasinormal modes. Employing the Denef-Hartnoll-Sachdev (DHS) prescription, we compute the bulk partition function from the spectrum of quasinormal frequencies. We demonstrate that the quasinormal partition function agrees with the bulk one-loop determinant of gravitons on $S^2 \times S^2$, as obtained via the heat kernel method. Furthermore, we isolate the contribution of the edge character from the full one-loop partition function on $S^2 \times S^2$, and provide remarks on the possible origin of this edge contribution in the quasinormal mode framework. |
| title | Quasinormal bulk-edge characters of gravitons in Nariai geometry |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2506.07556 |