On the late-time behavior of Virasoro blocks and a classification of semiclassical saddles
Abstract Recent work has demonstrated that black hole thermodynamics and information loss/restoration in AdS3/CFT2 can be derived almost entirely from the behavior of the Virasoro conformal blocks at large central charge, with relatively little dependence on the precise details of the CFT spectrum o...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP04(2017)072 |
| _version_ | 1818542490737704960 |
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| author | A. Liam Fitzpatrick Jared Kaplan |
| author_facet | A. Liam Fitzpatrick Jared Kaplan |
| author_sort | A. Liam Fitzpatrick |
| collection | DOAJ |
| description | Abstract Recent work has demonstrated that black hole thermodynamics and information loss/restoration in AdS3/CFT2 can be derived almost entirely from the behavior of the Virasoro conformal blocks at large central charge, with relatively little dependence on the precise details of the CFT spectrum or OPE coefficients. Here, we elaborate on the non-perturbative behavior of Virasoro blocks by classifying all ‘saddles’ that can contribute for arbitrary values of external and internal operator dimensions in the semiclassical large central charge limit. The leading saddles, which determine the naive semiclassical behavior of the Virasoro blocks, all decay exponentially at late times, and at a rate that is independent of internal operator dimensions. Consequently, the semiclassical contribution of a finite number of high-energy states cannot resolve a well-known version of the information loss problem in AdS3. However, we identify two infinite classes of sub-leading saddles, and one of these classes does not decay at late times. |
| first_indexed | 2024-12-11T22:22:46Z |
| format | Article |
| id | doaj.art-d4c585ff46de4a6abc3c934e3ad06d3d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T22:22:46Z |
| publishDate | 2017-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d4c585ff46de4a6abc3c934e3ad06d3d2022-12-22T00:48:24ZengSpringerOpenJournal of High Energy Physics1029-84792017-04-012017414710.1007/JHEP04(2017)072On the late-time behavior of Virasoro blocks and a classification of semiclassical saddlesA. Liam Fitzpatrick0Jared Kaplan1Department of Physics, Boston UniversityDepartment of Physics and Astronomy, Johns Hopkins UniversityAbstract Recent work has demonstrated that black hole thermodynamics and information loss/restoration in AdS3/CFT2 can be derived almost entirely from the behavior of the Virasoro conformal blocks at large central charge, with relatively little dependence on the precise details of the CFT spectrum or OPE coefficients. Here, we elaborate on the non-perturbative behavior of Virasoro blocks by classifying all ‘saddles’ that can contribute for arbitrary values of external and internal operator dimensions in the semiclassical large central charge limit. The leading saddles, which determine the naive semiclassical behavior of the Virasoro blocks, all decay exponentially at late times, and at a rate that is independent of internal operator dimensions. Consequently, the semiclassical contribution of a finite number of high-energy states cannot resolve a well-known version of the information loss problem in AdS3. However, we identify two infinite classes of sub-leading saddles, and one of these classes does not decay at late times.http://link.springer.com/article/10.1007/JHEP04(2017)072AdS-CFT CorrespondenceBlack HolesConformal and W SymmetryConformal Field Theory |
| spellingShingle | A. Liam Fitzpatrick Jared Kaplan On the late-time behavior of Virasoro blocks and a classification of semiclassical saddles Journal of High Energy Physics AdS-CFT Correspondence Black Holes Conformal and W Symmetry Conformal Field Theory |
| title | On the late-time behavior of Virasoro blocks and a classification of semiclassical saddles |
| title_full | On the late-time behavior of Virasoro blocks and a classification of semiclassical saddles |
| title_fullStr | On the late-time behavior of Virasoro blocks and a classification of semiclassical saddles |
| title_full_unstemmed | On the late-time behavior of Virasoro blocks and a classification of semiclassical saddles |
| title_short | On the late-time behavior of Virasoro blocks and a classification of semiclassical saddles |
| title_sort | on the late time behavior of virasoro blocks and a classification of semiclassical saddles |
| topic | AdS-CFT Correspondence Black Holes Conformal and W Symmetry Conformal Field Theory |
| url | http://link.springer.com/article/10.1007/JHEP04(2017)072 |
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