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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2302.14850 |
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| _version_ | 1866929246789697536 |
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| author | Dorey, Nick Mouland, Rishi |
| author_facet | Dorey, Nick Mouland, Rishi |
| contents | We study a limit in which a relativistic CFT reduces to conformal quantum mechanics, and relate the partition functions of the two theories. When the initial CFT is holographic, our limit coincides with an ultra-spinning limit in the gravity dual. We therefore propose that ultra-spinning black holes are dual to an appropriate ensemble in finite-dimensional conformal quantum mechanics. The limit is studied in detail for SCFTs in four and six dimensions. These theories have a superconformal index which can be computed by gluing together two or more blocks. Applying our limit to the index effectively isolates a single such block. Our results therefore suggest that ultra-spinning black holes play the role of blocks in the gravitational dual of holomorphic factorisation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_14850 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Conformal Quantum Mechanics, Holomorphic Factorisation, and Ultra-Spinning Black Holes Dorey, Nick Mouland, Rishi High Energy Physics - Theory We study a limit in which a relativistic CFT reduces to conformal quantum mechanics, and relate the partition functions of the two theories. When the initial CFT is holographic, our limit coincides with an ultra-spinning limit in the gravity dual. We therefore propose that ultra-spinning black holes are dual to an appropriate ensemble in finite-dimensional conformal quantum mechanics. The limit is studied in detail for SCFTs in four and six dimensions. These theories have a superconformal index which can be computed by gluing together two or more blocks. Applying our limit to the index effectively isolates a single such block. Our results therefore suggest that ultra-spinning black holes play the role of blocks in the gravitational dual of holomorphic factorisation. |
| title | Conformal Quantum Mechanics, Holomorphic Factorisation, and Ultra-Spinning Black Holes |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2302.14850 |