Full action of two deformation operators in the D1D5 CFT
Abstract We are interested in thermalization in the D1D5 CFT, since this process is expected to be dual to black hole formation. We expect that the lowest order process where thermalization occurs will be at second order in the perturbation that moves us away from the orbifold point. The operator go...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP11(2017)096 |
| _version_ | 1818035187912540160 |
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| author | Zaq Carson Shaun Hampton Samir D. Mathur |
| author_facet | Zaq Carson Shaun Hampton Samir D. Mathur |
| author_sort | Zaq Carson |
| collection | DOAJ |
| description | Abstract We are interested in thermalization in the D1D5 CFT, since this process is expected to be dual to black hole formation. We expect that the lowest order process where thermalization occurs will be at second order in the perturbation that moves us away from the orbifold point. The operator governing the deformation off of the orbifold point consists of a twist operator combined with a supercharge operator acting on this twist. In a previous paper we computed the action of two twist operators on an arbitrary state of the CFT. In the present work we compute the action of the supercharges on these twist operators, thereby obtaining the full action of two deformation operators on an arbitrary state of the CFT. We show that the full amplitude can be related to the amplitude with just the twists through an action of the supercharge operators on the initial and final states. The essential part of this computation consists of moving the contours from the twist operators to the initial and final states; to do this one must first map the amplitude to a covering space where the twists are removed, and then map back to the original space on which the CFT is defined. |
| first_indexed | 2024-12-10T06:51:05Z |
| format | Article |
| id | doaj.art-2ba74f1274eb4b2298597ad7091f15df |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T06:51:05Z |
| publishDate | 2017-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-2ba74f1274eb4b2298597ad7091f15df2022-12-22T01:58:32ZengSpringerOpenJournal of High Energy Physics1029-84792017-11-0120171114510.1007/JHEP11(2017)096Full action of two deformation operators in the D1D5 CFTZaq Carson0Shaun Hampton1Samir D. Mathur2Department of Physics, University of TorontoDepartment of Physics, The Ohio State UniversityDepartment of Physics, The Ohio State UniversityAbstract We are interested in thermalization in the D1D5 CFT, since this process is expected to be dual to black hole formation. We expect that the lowest order process where thermalization occurs will be at second order in the perturbation that moves us away from the orbifold point. The operator governing the deformation off of the orbifold point consists of a twist operator combined with a supercharge operator acting on this twist. In a previous paper we computed the action of two twist operators on an arbitrary state of the CFT. In the present work we compute the action of the supercharges on these twist operators, thereby obtaining the full action of two deformation operators on an arbitrary state of the CFT. We show that the full amplitude can be related to the amplitude with just the twists through an action of the supercharge operators on the initial and final states. The essential part of this computation consists of moving the contours from the twist operators to the initial and final states; to do this one must first map the amplitude to a covering space where the twists are removed, and then map back to the original space on which the CFT is defined.http://link.springer.com/article/10.1007/JHEP11(2017)096AdS-CFT CorrespondenceBlack Holes in String TheoryConformal Field Theory |
| spellingShingle | Zaq Carson Shaun Hampton Samir D. Mathur Full action of two deformation operators in the D1D5 CFT Journal of High Energy Physics AdS-CFT Correspondence Black Holes in String Theory Conformal Field Theory |
| title | Full action of two deformation operators in the D1D5 CFT |
| title_full | Full action of two deformation operators in the D1D5 CFT |
| title_fullStr | Full action of two deformation operators in the D1D5 CFT |
| title_full_unstemmed | Full action of two deformation operators in the D1D5 CFT |
| title_short | Full action of two deformation operators in the D1D5 CFT |
| title_sort | full action of two deformation operators in the d1d5 cft |
| topic | AdS-CFT Correspondence Black Holes in String Theory Conformal Field Theory |
| url | http://link.springer.com/article/10.1007/JHEP11(2017)096 |
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