Sphere partition functions & cut-off AdS
Abstract We consider sphere partition functions of TT deformed large N conformal field theories in d = 2, 3, 4, 5 and 6 dimensions, computed using the flow equation. These are shown to non-perturbatively match with bulk computations of AdS d+1 with a finite radial cut-off. We then demonstrate how th...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-05-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP05(2019)112 |
| _version_ | 1818033105302192128 |
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| author | Pawel Caputa Shouvik Datta Vasudev Shyam |
| author_facet | Pawel Caputa Shouvik Datta Vasudev Shyam |
| author_sort | Pawel Caputa |
| collection | DOAJ |
| description | Abstract We consider sphere partition functions of TT deformed large N conformal field theories in d = 2, 3, 4, 5 and 6 dimensions, computed using the flow equation. These are shown to non-perturbatively match with bulk computations of AdS d+1 with a finite radial cut-off. We then demonstrate how the flow equation can be independently derived from a regularization procedure of defining TT operators through a local Callan-Symanzik equation. Finally, we show that the sphere partition functions, modulo bulk-counterterm contributions, can be reproduced from Wheeler-DeWitt wavefunctions. |
| first_indexed | 2024-12-10T06:17:58Z |
| format | Article |
| id | doaj.art-44991abbcdf24e0eb2b2dd6f617c439b |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T06:17:58Z |
| publishDate | 2019-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-44991abbcdf24e0eb2b2dd6f617c439b2022-12-22T01:59:24ZengSpringerOpenJournal of High Energy Physics1029-84792019-05-012019512610.1007/JHEP05(2019)112Sphere partition functions & cut-off AdSPawel Caputa0Shouvik Datta1Vasudev Shyam2Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto UniversityMani L. Bhaumik Institute for Theoretical Physics, Department of Physics & Astronomy, University of CaliforniaPerimeter Institute for Theoretical PhysicsAbstract We consider sphere partition functions of TT deformed large N conformal field theories in d = 2, 3, 4, 5 and 6 dimensions, computed using the flow equation. These are shown to non-perturbatively match with bulk computations of AdS d+1 with a finite radial cut-off. We then demonstrate how the flow equation can be independently derived from a regularization procedure of defining TT operators through a local Callan-Symanzik equation. Finally, we show that the sphere partition functions, modulo bulk-counterterm contributions, can be reproduced from Wheeler-DeWitt wavefunctions.http://link.springer.com/article/10.1007/JHEP05(2019)112AdS-CFT CorrespondenceClassical Theories of GravityConformal Field TheoryIntegrable Field Theories |
| spellingShingle | Pawel Caputa Shouvik Datta Vasudev Shyam Sphere partition functions & cut-off AdS Journal of High Energy Physics AdS-CFT Correspondence Classical Theories of Gravity Conformal Field Theory Integrable Field Theories |
| title | Sphere partition functions & cut-off AdS |
| title_full | Sphere partition functions & cut-off AdS |
| title_fullStr | Sphere partition functions & cut-off AdS |
| title_full_unstemmed | Sphere partition functions & cut-off AdS |
| title_short | Sphere partition functions & cut-off AdS |
| title_sort | sphere partition functions cut off ads |
| topic | AdS-CFT Correspondence Classical Theories of Gravity Conformal Field Theory Integrable Field Theories |
| url | http://link.springer.com/article/10.1007/JHEP05(2019)112 |
| work_keys_str_mv | AT pawelcaputa spherepartitionfunctionscutoffads AT shouvikdatta spherepartitionfunctionscutoffads AT vasudevshyam spherepartitionfunctionscutoffads |