Thermalization in the D1D5 CFT
Abstract It is generally agreed that black hole formation in gravity corresponds to thermalization in the dual CFT. It is sometimes argued that if the CFT evolution shows evidence of large redshift in gravity, then we have seen black hole formation in the CFT. We argue that this is not the case: a c...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP06(2020)004 |
| _version_ | 1819290566514442240 |
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| author | Shaun Hampton Samir D. Mathur |
| author_facet | Shaun Hampton Samir D. Mathur |
| author_sort | Shaun Hampton |
| collection | DOAJ |
| description | Abstract It is generally agreed that black hole formation in gravity corresponds to thermalization in the dual CFT. It is sometimes argued that if the CFT evolution shows evidence of large redshift in gravity, then we have seen black hole formation in the CFT. We argue that this is not the case: a clock falling towards the horizon increases its redshift but remains intact as a clock; thus it is not ‘thermalized’. Instead, thermalization should correspond to a new phase after the phase of large redshift, where the infalling object turns into fuzzballs on reaching within planck distance of the horizon. We compute simple examples of the scattering vertex in the D1D5 CFT which, after many iterations, would lead to thermalization. An initial state made of two left-moving and two right-moving excitations corresponds, in gravity, to two gravitons heading towards each other. The thermalization vertex in the CFT breaks these excitations into multiple excitations on the left and right sides; we compute the amplitudes for several of these processes. We find secular terms that grow as t 2 instead of oscillating with t; we conjecture that this may be a feature of processes leading to thermalization. |
| first_indexed | 2024-12-24T03:24:47Z |
| format | Article |
| id | doaj.art-bff57a94fc0d401285fe6395c70d4fa7 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-24T03:24:47Z |
| publishDate | 2020-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-bff57a94fc0d401285fe6395c70d4fa72022-12-21T17:17:23ZengSpringerOpenJournal of High Energy Physics1029-84792020-06-012020612610.1007/JHEP06(2020)004Thermalization in the D1D5 CFTShaun Hampton0Samir D. Mathur1Department of Physics, The Ohio State UniversityDepartment of Physics, The Ohio State UniversityAbstract It is generally agreed that black hole formation in gravity corresponds to thermalization in the dual CFT. It is sometimes argued that if the CFT evolution shows evidence of large redshift in gravity, then we have seen black hole formation in the CFT. We argue that this is not the case: a clock falling towards the horizon increases its redshift but remains intact as a clock; thus it is not ‘thermalized’. Instead, thermalization should correspond to a new phase after the phase of large redshift, where the infalling object turns into fuzzballs on reaching within planck distance of the horizon. We compute simple examples of the scattering vertex in the D1D5 CFT which, after many iterations, would lead to thermalization. An initial state made of two left-moving and two right-moving excitations corresponds, in gravity, to two gravitons heading towards each other. The thermalization vertex in the CFT breaks these excitations into multiple excitations on the left and right sides; we compute the amplitudes for several of these processes. We find secular terms that grow as t 2 instead of oscillating with t; we conjecture that this may be a feature of processes leading to thermalization.http://link.springer.com/article/10.1007/JHEP06(2020)004AdS-CFT CorrespondenceBlack Holes in String TheoryConformal Field TheoryD-branes |
| spellingShingle | Shaun Hampton Samir D. Mathur Thermalization in the D1D5 CFT Journal of High Energy Physics AdS-CFT Correspondence Black Holes in String Theory Conformal Field Theory D-branes |
| title | Thermalization in the D1D5 CFT |
| title_full | Thermalization in the D1D5 CFT |
| title_fullStr | Thermalization in the D1D5 CFT |
| title_full_unstemmed | Thermalization in the D1D5 CFT |
| title_short | Thermalization in the D1D5 CFT |
| title_sort | thermalization in the d1d5 cft |
| topic | AdS-CFT Correspondence Black Holes in String Theory Conformal Field Theory D-branes |
| url | http://link.springer.com/article/10.1007/JHEP06(2020)004 |
| work_keys_str_mv | AT shaunhampton thermalizationinthed1d5cft AT samirdmathur thermalizationinthed1d5cft |