Magnetically charged AdS5 black holes from class S theories on hyperbolic 3-manifolds
We study the twisted index of 4d N = 2 class S theories on a closed hyperbolic 3-manifold M3. Via 6d picture, the index can be written in terms of topological invariants called analytic torsions twisted by irreducible flat connections on the 3-manifold. Using the topological expression, we determine...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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Scuola Internazionale Superiore di Studi Avanzati
2020
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| _version_ | 1826301415029473280 |
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| author | Bae, J-B Gang, D Lee, K |
| author_facet | Bae, J-B Gang, D Lee, K |
| author_sort | Bae, J-B |
| collection | OXFORD |
| description | We study the twisted index of 4d N = 2 class S theories on a closed hyperbolic 3-manifold M3. Via 6d picture, the index can be written in terms of topological invariants called analytic torsions twisted by irreducible flat connections on the 3-manifold. Using the topological expression, we determine the full perturbative 1/N expansion of the twisted index. The leading part nicely matches the Bekestein-Hawking entropy of a magnetically charged black hole in the holographic dual AdS5 with AdS2 × M3 near-horizon. |
| first_indexed | 2024-03-07T05:32:04Z |
| format | Journal article |
| id | oxford-uuid:e29b74bc-3bca-43a1-8719-2295b8e3bd62 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T05:32:04Z |
| publishDate | 2020 |
| publisher | Scuola Internazionale Superiore di Studi Avanzati |
| record_format | dspace |
| spelling | oxford-uuid:e29b74bc-3bca-43a1-8719-2295b8e3bd622022-03-27T10:02:42ZMagnetically charged AdS5 black holes from class S theories on hyperbolic 3-manifoldsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e29b74bc-3bca-43a1-8719-2295b8e3bd62EnglishSymplectic ElementsScuola Internazionale Superiore di Studi Avanzati2020Bae, J-BGang, DLee, KWe study the twisted index of 4d N = 2 class S theories on a closed hyperbolic 3-manifold M3. Via 6d picture, the index can be written in terms of topological invariants called analytic torsions twisted by irreducible flat connections on the 3-manifold. Using the topological expression, we determine the full perturbative 1/N expansion of the twisted index. The leading part nicely matches the Bekestein-Hawking entropy of a magnetically charged black hole in the holographic dual AdS5 with AdS2 × M3 near-horizon. |
| spellingShingle | Bae, J-B Gang, D Lee, K Magnetically charged AdS5 black holes from class S theories on hyperbolic 3-manifolds |
| title | Magnetically charged AdS5 black holes from class S theories on hyperbolic 3-manifolds |
| title_full | Magnetically charged AdS5 black holes from class S theories on hyperbolic 3-manifolds |
| title_fullStr | Magnetically charged AdS5 black holes from class S theories on hyperbolic 3-manifolds |
| title_full_unstemmed | Magnetically charged AdS5 black holes from class S theories on hyperbolic 3-manifolds |
| title_short | Magnetically charged AdS5 black holes from class S theories on hyperbolic 3-manifolds |
| title_sort | magnetically charged ads5 black holes from class s theories on hyperbolic 3 manifolds |
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