On the universality of late-time correlators in semi-classical 2d CFTs
Abstract In the framework of the AdS3/ CFT2 correspondence, we present a systematic analysis of the late time thermalization of a two dimensional CFT state created by insertion of small number of heavy operators on the vacuum. We show that at late Lorentzian time, the universal features of this ther...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-08-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP08(2018)047 |
| _version_ | 1818055770702348288 |
|---|---|
| author | Souvik Banerjee Jan-Willem Bryan Gideon Vos |
| author_facet | Souvik Banerjee Jan-Willem Bryan Gideon Vos |
| author_sort | Souvik Banerjee |
| collection | DOAJ |
| description | Abstract In the framework of the AdS3/ CFT2 correspondence, we present a systematic analysis of the late time thermalization of a two dimensional CFT state created by insertion of small number of heavy operators on the vacuum. We show that at late Lorentzian time, the universal features of this thermalization are solely captured by the eigenvalues of the monodromy matrix corresponding to the solutions of the uniformization equation. We discuss two different ways to extract the monodromy eigenvalues while bypassing the need for finding explicitly the full monodromy matrix - first, using a monodromy preserving diffeomorphism and second using Chen-Simons formulation of gravity in AdS3. Both of the methods yield the same precise relation between the eigenvalues and the final black hole temperature at late Lorentzian time. |
| first_indexed | 2024-12-10T12:18:14Z |
| format | Article |
| id | doaj.art-3e7b9ceb9a8c4da9aec4bdb5f19f54f0 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T12:18:14Z |
| publishDate | 2018-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-3e7b9ceb9a8c4da9aec4bdb5f19f54f02022-12-22T01:49:10ZengSpringerOpenJournal of High Energy Physics1029-84792018-08-012018813910.1007/JHEP08(2018)047On the universality of late-time correlators in semi-classical 2d CFTsSouvik Banerjee0Jan-Willem Bryan1Gideon Vos2Department of Physics and Astronomy, Uppsala UniversityVan Swinderen Institute for Particle Physics and Gravity, University of GroningenVan Swinderen Institute for Particle Physics and Gravity, University of GroningenAbstract In the framework of the AdS3/ CFT2 correspondence, we present a systematic analysis of the late time thermalization of a two dimensional CFT state created by insertion of small number of heavy operators on the vacuum. We show that at late Lorentzian time, the universal features of this thermalization are solely captured by the eigenvalues of the monodromy matrix corresponding to the solutions of the uniformization equation. We discuss two different ways to extract the monodromy eigenvalues while bypassing the need for finding explicitly the full monodromy matrix - first, using a monodromy preserving diffeomorphism and second using Chen-Simons formulation of gravity in AdS3. Both of the methods yield the same precise relation between the eigenvalues and the final black hole temperature at late Lorentzian time.http://link.springer.com/article/10.1007/JHEP08(2018)047AdS-CFT CorrespondenceBlack HolesConformal Field Theory |
| spellingShingle | Souvik Banerjee Jan-Willem Bryan Gideon Vos On the universality of late-time correlators in semi-classical 2d CFTs Journal of High Energy Physics AdS-CFT Correspondence Black Holes Conformal Field Theory |
| title | On the universality of late-time correlators in semi-classical 2d CFTs |
| title_full | On the universality of late-time correlators in semi-classical 2d CFTs |
| title_fullStr | On the universality of late-time correlators in semi-classical 2d CFTs |
| title_full_unstemmed | On the universality of late-time correlators in semi-classical 2d CFTs |
| title_short | On the universality of late-time correlators in semi-classical 2d CFTs |
| title_sort | on the universality of late time correlators in semi classical 2d cfts |
| topic | AdS-CFT Correspondence Black Holes Conformal Field Theory |
| url | http://link.springer.com/article/10.1007/JHEP08(2018)047 |
| work_keys_str_mv | AT souvikbanerjee ontheuniversalityoflatetimecorrelatorsinsemiclassical2dcfts AT janwillembryan ontheuniversalityoflatetimecorrelatorsinsemiclassical2dcfts AT gideonvos ontheuniversalityoflatetimecorrelatorsinsemiclassical2dcfts |