2D CFT partition functions at late times
Abstract We consider the late time behavior of the analytically continued partition function Z(β + it)Z(β − it) in holographic 2d CFTs. This is a probe of information loss in such theories and in their holographic duals. We show that each Virasoro character decays in time, and so information is not...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP08(2017)075 |
| _version_ | 1819146052131880960 |
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| author | Ethan Dyer Guy Gur-Ari |
| author_facet | Ethan Dyer Guy Gur-Ari |
| author_sort | Ethan Dyer |
| collection | DOAJ |
| description | Abstract We consider the late time behavior of the analytically continued partition function Z(β + it)Z(β − it) in holographic 2d CFTs. This is a probe of information loss in such theories and in their holographic duals. We show that each Virasoro character decays in time, and so information is not restored at the level of individual characters. We identify a universal decaying contribution at late times, and conjecture that it describes the behavior of generic chaotic 2d CFTs out to times that are exponentially large in the central charge. It was recently suggested that at sufficiently late times one expects a crossover to random matrix behavior. We estimate an upper bound on the crossover time, which suggests that the decay is followed by a parametrically long period of late time growth. Finally, we discuss gravitationally-motivated integrable theories and show how information is restored at late times by a series of characters. This hints at a possible bulk mechanism, where information is restored by an infinite sum over non-perturbative saddles. |
| first_indexed | 2024-12-22T13:07:47Z |
| format | Article |
| id | doaj.art-942c8ddf26004aa98702b781c68fa5d6 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T13:07:47Z |
| publishDate | 2017-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-942c8ddf26004aa98702b781c68fa5d62022-12-21T18:24:50ZengSpringerOpenJournal of High Energy Physics1029-84792017-08-012017813510.1007/JHEP08(2017)0752D CFT partition functions at late timesEthan Dyer0Guy Gur-Ari1Stanford Institute for Theoretical Physics, Stanford UniversityStanford Institute for Theoretical Physics, Stanford UniversityAbstract We consider the late time behavior of the analytically continued partition function Z(β + it)Z(β − it) in holographic 2d CFTs. This is a probe of information loss in such theories and in their holographic duals. We show that each Virasoro character decays in time, and so information is not restored at the level of individual characters. We identify a universal decaying contribution at late times, and conjecture that it describes the behavior of generic chaotic 2d CFTs out to times that are exponentially large in the central charge. It was recently suggested that at sufficiently late times one expects a crossover to random matrix behavior. We estimate an upper bound on the crossover time, which suggests that the decay is followed by a parametrically long period of late time growth. Finally, we discuss gravitationally-motivated integrable theories and show how information is restored at late times by a series of characters. This hints at a possible bulk mechanism, where information is restored by an infinite sum over non-perturbative saddles.http://link.springer.com/article/10.1007/JHEP08(2017)075AdS-CFT CorrespondenceBlack HolesConformal Field TheoryField Theories in Lower Dimensions |
| spellingShingle | Ethan Dyer Guy Gur-Ari 2D CFT partition functions at late times Journal of High Energy Physics AdS-CFT Correspondence Black Holes Conformal Field Theory Field Theories in Lower Dimensions |
| title | 2D CFT partition functions at late times |
| title_full | 2D CFT partition functions at late times |
| title_fullStr | 2D CFT partition functions at late times |
| title_full_unstemmed | 2D CFT partition functions at late times |
| title_short | 2D CFT partition functions at late times |
| title_sort | 2d cft partition functions at late times |
| topic | AdS-CFT Correspondence Black Holes Conformal Field Theory Field Theories in Lower Dimensions |
| url | http://link.springer.com/article/10.1007/JHEP08(2017)075 |
| work_keys_str_mv | AT ethandyer 2dcftpartitionfunctionsatlatetimes AT guygurari 2dcftpartitionfunctionsatlatetimes |