Stress tensor sector of conformal correlators operators in the Regge limit
Abstract An important part of a CFT four-point function, the stress tensor sector, comprises the exchanges of the stress tensor and its composites. The OPE coefficients of these multi-stress tensor operators and consequently, the complete stress tensor sector of four- point functions in CFTs with a...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP07(2020)019 |
| _version_ | 1818967608494391296 |
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| author | Robin Karlsson Manuela Kulaxizi Andrei Parnachev Petar Tadić |
| author_facet | Robin Karlsson Manuela Kulaxizi Andrei Parnachev Petar Tadić |
| author_sort | Robin Karlsson |
| collection | DOAJ |
| description | Abstract An important part of a CFT four-point function, the stress tensor sector, comprises the exchanges of the stress tensor and its composites. The OPE coefficients of these multi-stress tensor operators and consequently, the complete stress tensor sector of four- point functions in CFTs with a large central charge, can be determined by computing a heavy-heavy-light-light correlator. We show how one can make substantial progress in this direction by bootstrapping a certain ansatz for the stress tensor sector of the correlator, iteratively computing the OPE coefficients of multi-stress tensor operators with increasing twist. Some parameters are not fixed by the bootstrap — they correspond to the OPE coefficients of multi-stress tensors with spin zero and two. We further show that in holographic CFTs one can use the phase shift computed in the dual gravitational theory to reduce the set of undetermined parameters to the OPE coefficients of multi-stress tensors with spin zero. Finally, we verify some of these results using the Lorentzian OPE inversion formula and comment on its regime of applicability. |
| first_indexed | 2024-12-20T13:51:30Z |
| format | Article |
| id | doaj.art-c1a6e4b5e0c24932b531fe15ec3d1189 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T13:51:30Z |
| publishDate | 2020-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-c1a6e4b5e0c24932b531fe15ec3d11892022-12-21T19:38:31ZengSpringerOpenJournal of High Energy Physics1029-84792020-07-012020715210.1007/JHEP07(2020)019Stress tensor sector of conformal correlators operators in the Regge limitRobin Karlsson0Manuela Kulaxizi1Andrei Parnachev2Petar Tadić3School of Mathematics, Trinity College DublinSchool of Mathematics, Trinity College DublinSchool of Mathematics, Trinity College DublinSchool of Mathematics, Trinity College DublinAbstract An important part of a CFT four-point function, the stress tensor sector, comprises the exchanges of the stress tensor and its composites. The OPE coefficients of these multi-stress tensor operators and consequently, the complete stress tensor sector of four- point functions in CFTs with a large central charge, can be determined by computing a heavy-heavy-light-light correlator. We show how one can make substantial progress in this direction by bootstrapping a certain ansatz for the stress tensor sector of the correlator, iteratively computing the OPE coefficients of multi-stress tensor operators with increasing twist. Some parameters are not fixed by the bootstrap — they correspond to the OPE coefficients of multi-stress tensors with spin zero and two. We further show that in holographic CFTs one can use the phase shift computed in the dual gravitational theory to reduce the set of undetermined parameters to the OPE coefficients of multi-stress tensors with spin zero. Finally, we verify some of these results using the Lorentzian OPE inversion formula and comment on its regime of applicability.http://link.springer.com/article/10.1007/JHEP07(2020)019AdS-CFT CorrespondenceConformal Field TheoryBlack Holes |
| spellingShingle | Robin Karlsson Manuela Kulaxizi Andrei Parnachev Petar Tadić Stress tensor sector of conformal correlators operators in the Regge limit Journal of High Energy Physics AdS-CFT Correspondence Conformal Field Theory Black Holes |
| title | Stress tensor sector of conformal correlators operators in the Regge limit |
| title_full | Stress tensor sector of conformal correlators operators in the Regge limit |
| title_fullStr | Stress tensor sector of conformal correlators operators in the Regge limit |
| title_full_unstemmed | Stress tensor sector of conformal correlators operators in the Regge limit |
| title_short | Stress tensor sector of conformal correlators operators in the Regge limit |
| title_sort | stress tensor sector of conformal correlators operators in the regge limit |
| topic | AdS-CFT Correspondence Conformal Field Theory Black Holes |
| url | http://link.springer.com/article/10.1007/JHEP07(2020)019 |
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