Free partition functions and an averaged holographic duality
Abstract We study the torus partition functions of free bosonic CFTs in two dimensions. Integrating over Narain moduli defines an ensemble-averaged free CFT. We calculate the averaged partition function and show that it can be reinterpreted as a sum over topologies in three dimensions. This result l...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2021)130 |
| _version_ | 1818836054158868480 |
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| author | Nima Afkhami-Jeddi Henry Cohn Thomas Hartman Amirhossein Tajdini |
| author_facet | Nima Afkhami-Jeddi Henry Cohn Thomas Hartman Amirhossein Tajdini |
| author_sort | Nima Afkhami-Jeddi |
| collection | DOAJ |
| description | Abstract We study the torus partition functions of free bosonic CFTs in two dimensions. Integrating over Narain moduli defines an ensemble-averaged free CFT. We calculate the averaged partition function and show that it can be reinterpreted as a sum over topologies in three dimensions. This result leads us to conjecture that an averaged free CFT in two dimensions is holographically dual to an exotic theory of three-dimensional gravity with U(1) c ×U(1) c symmetry and a composite boundary graviton. Additionally, for small central charge c, we obtain general constraints on the spectral gap of free CFTs using the spinning modular bootstrap, construct examples of Narain compactifications with a large gap, and find an analytic bootstrap functional corresponding to a single self-dual boson. |
| first_indexed | 2024-12-19T03:00:30Z |
| format | Article |
| id | doaj.art-c2daf04e656b48ee95f1b0bbd98092f8 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-19T03:00:30Z |
| publishDate | 2021-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-c2daf04e656b48ee95f1b0bbd98092f82022-12-21T20:38:13ZengSpringerOpenJournal of High Energy Physics1029-84792021-01-012021114310.1007/JHEP01(2021)130Free partition functions and an averaged holographic dualityNima Afkhami-Jeddi0Henry Cohn1Thomas Hartman2Amirhossein Tajdini3Enrico Fermi Institute & Kadanoff Center for Theoretical Physics, University of ChicagoMicrosoft Research New EnglandDepartment of Physics, Cornell UniversityDepartment of Physics, Cornell UniversityAbstract We study the torus partition functions of free bosonic CFTs in two dimensions. Integrating over Narain moduli defines an ensemble-averaged free CFT. We calculate the averaged partition function and show that it can be reinterpreted as a sum over topologies in three dimensions. This result leads us to conjecture that an averaged free CFT in two dimensions is holographically dual to an exotic theory of three-dimensional gravity with U(1) c ×U(1) c symmetry and a composite boundary graviton. Additionally, for small central charge c, we obtain general constraints on the spectral gap of free CFTs using the spinning modular bootstrap, construct examples of Narain compactifications with a large gap, and find an analytic bootstrap functional corresponding to a single self-dual boson.https://doi.org/10.1007/JHEP01(2021)130AdS-CFT CorrespondenceConformal Field Theory |
| spellingShingle | Nima Afkhami-Jeddi Henry Cohn Thomas Hartman Amirhossein Tajdini Free partition functions and an averaged holographic duality Journal of High Energy Physics AdS-CFT Correspondence Conformal Field Theory |
| title | Free partition functions and an averaged holographic duality |
| title_full | Free partition functions and an averaged holographic duality |
| title_fullStr | Free partition functions and an averaged holographic duality |
| title_full_unstemmed | Free partition functions and an averaged holographic duality |
| title_short | Free partition functions and an averaged holographic duality |
| title_sort | free partition functions and an averaged holographic duality |
| topic | AdS-CFT Correspondence Conformal Field Theory |
| url | https://doi.org/10.1007/JHEP01(2021)130 |
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