Establishing strongly-coupled 3D AdS quantum gravity with Ising dual using all-genus partition functions
Abstract We study 3D pure Einstein quantum gravity with negative cosmological constant, in the regime where the AdS radius l is of the order of the Planck scale. Specifically, when the Brown-Henneaux central charge c = 3l/2G N (G N is the 3D Newton constant) equals c = 1/2, we establish duality betw...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2020)129 |
| _version_ | 1818301986430255104 |
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| author | Chao-Ming Jian Andreas W. W. Ludwig Zhu-Xi Luo Hao-Yu Sun Zhenghan Wang |
| author_facet | Chao-Ming Jian Andreas W. W. Ludwig Zhu-Xi Luo Hao-Yu Sun Zhenghan Wang |
| author_sort | Chao-Ming Jian |
| collection | DOAJ |
| description | Abstract We study 3D pure Einstein quantum gravity with negative cosmological constant, in the regime where the AdS radius l is of the order of the Planck scale. Specifically, when the Brown-Henneaux central charge c = 3l/2G N (G N is the 3D Newton constant) equals c = 1/2, we establish duality between 3D gravity and 2D Ising conformal field theory by matching gravity and conformal field theory partition functions for AdS spacetimes with general asymptotic boundaries. This duality was suggested by a genus-one calculation of Castro et al. [Phys. Rev. D 85 (2012) 024032]. Extension beyond genus-one requires new mathematical results based on 3D Topological Quantum Field Theory; these turn out to uniquely select the c = 1/2 theory among all those with c < 1, extending the previous results of Castro et al. Previous work suggests the reduction of the calculation of the gravity partition function to a problem of summation over the orbits of the mapping class group action on a “vacuum seed”. But whether or not the summation is well-defined for the general case was unknown before this work. Amongst all theories with Brown-Henneaux central charge c < 1, the sum is finite and unique only when c = 1/2, corresponding to a dual Ising conformal field theory on the asymptotic boundary. |
| first_indexed | 2024-12-13T05:31:43Z |
| format | Article |
| id | doaj.art-9395503759634542905047d7d867591f |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T05:31:43Z |
| publishDate | 2020-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-9395503759634542905047d7d867591f2022-12-21T23:58:04ZengSpringerOpenJournal of High Energy Physics1029-84792020-10-0120201015310.1007/JHEP10(2020)129Establishing strongly-coupled 3D AdS quantum gravity with Ising dual using all-genus partition functionsChao-Ming Jian0Andreas W. W. Ludwig1Zhu-Xi Luo2Hao-Yu Sun3Zhenghan Wang4Kavli Institute for Theoretical Physics, University of CaliforniaDepartment of Physics, University of CaliforniaKavli Institute for Theoretical Physics, University of CaliforniaKavli Institute for Theoretical Physics, University of CaliforniaMicrosoft Station QAbstract We study 3D pure Einstein quantum gravity with negative cosmological constant, in the regime where the AdS radius l is of the order of the Planck scale. Specifically, when the Brown-Henneaux central charge c = 3l/2G N (G N is the 3D Newton constant) equals c = 1/2, we establish duality between 3D gravity and 2D Ising conformal field theory by matching gravity and conformal field theory partition functions for AdS spacetimes with general asymptotic boundaries. This duality was suggested by a genus-one calculation of Castro et al. [Phys. Rev. D 85 (2012) 024032]. Extension beyond genus-one requires new mathematical results based on 3D Topological Quantum Field Theory; these turn out to uniquely select the c = 1/2 theory among all those with c < 1, extending the previous results of Castro et al. Previous work suggests the reduction of the calculation of the gravity partition function to a problem of summation over the orbits of the mapping class group action on a “vacuum seed”. But whether or not the summation is well-defined for the general case was unknown before this work. Amongst all theories with Brown-Henneaux central charge c < 1, the sum is finite and unique only when c = 1/2, corresponding to a dual Ising conformal field theory on the asymptotic boundary.http://link.springer.com/article/10.1007/JHEP10(2020)129AdS-CFT CorrespondenceTopological Field TheoriesModels of Quantum GravityConformal Field Theory |
| spellingShingle | Chao-Ming Jian Andreas W. W. Ludwig Zhu-Xi Luo Hao-Yu Sun Zhenghan Wang Establishing strongly-coupled 3D AdS quantum gravity with Ising dual using all-genus partition functions Journal of High Energy Physics AdS-CFT Correspondence Topological Field Theories Models of Quantum Gravity Conformal Field Theory |
| title | Establishing strongly-coupled 3D AdS quantum gravity with Ising dual using all-genus partition functions |
| title_full | Establishing strongly-coupled 3D AdS quantum gravity with Ising dual using all-genus partition functions |
| title_fullStr | Establishing strongly-coupled 3D AdS quantum gravity with Ising dual using all-genus partition functions |
| title_full_unstemmed | Establishing strongly-coupled 3D AdS quantum gravity with Ising dual using all-genus partition functions |
| title_short | Establishing strongly-coupled 3D AdS quantum gravity with Ising dual using all-genus partition functions |
| title_sort | establishing strongly coupled 3d ads quantum gravity with ising dual using all genus partition functions |
| topic | AdS-CFT Correspondence Topological Field Theories Models of Quantum Gravity Conformal Field Theory |
| url | http://link.springer.com/article/10.1007/JHEP10(2020)129 |
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