Leading multi-stress tensors and conformal bootstrap
Abstract Near lightcone correlators are dominated by operators with the lowest twist. We consider the contributions of such leading lowest twist multi-stress tensor operators to a heavy-heavy-light-light correlator in a CFT of any even dimensionality with a large central charge. An infinite number o...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-01-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2020)076 |
| _version_ | 1818821754054770688 |
|---|---|
| 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 Near lightcone correlators are dominated by operators with the lowest twist. We consider the contributions of such leading lowest twist multi-stress tensor operators to a heavy-heavy-light-light correlator in a CFT of any even dimensionality with a large central charge. An infinite number of such operators contribute, but their sum is described by a simple ansatz. We show that the coefficients in this ansatz can be determined recursively, thereby providing an operational procedure to compute them. This is achieved by bootstrapping the corresponding near lightcone correlator: conformal data for any minimal twist determines that for the higher minimal-twist and so on. To illustrate this procedure in four spacetime dimensions we determine the contributions of double- and triple-stress tensors. We compute the OPE coefficients; whenever results are available in the literature, we observe complete agreement. We also compute the contributions of double-stress tensors in six spacetime dimensions and determine the corresponding OPE coefficients. In all cases the results are consistent with the exponentiation of the near lightcone correlator. This is similar to the situation in two spacetime dimensions for the Virasoro vacuum block. |
| first_indexed | 2024-12-18T23:13:12Z |
| format | Article |
| id | doaj.art-251f737a19d94b55b0d98155ef922d07 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-18T23:13:12Z |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-251f737a19d94b55b0d98155ef922d072022-12-21T20:48:17ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020112410.1007/JHEP01(2020)076Leading multi-stress tensors and conformal bootstrapRobin Karlsson0Manuela Kulaxizi1Andrei Parnachev2Petar Tadić3School of Mathematics, Trinity College DublinSchool of Mathematics, Trinity College DublinSchool of Mathematics, Trinity College DublinSchool of Mathematics, Trinity College DublinAbstract Near lightcone correlators are dominated by operators with the lowest twist. We consider the contributions of such leading lowest twist multi-stress tensor operators to a heavy-heavy-light-light correlator in a CFT of any even dimensionality with a large central charge. An infinite number of such operators contribute, but their sum is described by a simple ansatz. We show that the coefficients in this ansatz can be determined recursively, thereby providing an operational procedure to compute them. This is achieved by bootstrapping the corresponding near lightcone correlator: conformal data for any minimal twist determines that for the higher minimal-twist and so on. To illustrate this procedure in four spacetime dimensions we determine the contributions of double- and triple-stress tensors. We compute the OPE coefficients; whenever results are available in the literature, we observe complete agreement. We also compute the contributions of double-stress tensors in six spacetime dimensions and determine the corresponding OPE coefficients. In all cases the results are consistent with the exponentiation of the near lightcone correlator. This is similar to the situation in two spacetime dimensions for the Virasoro vacuum block.https://doi.org/10.1007/JHEP01(2020)076AdS-CFT CorrespondenceConformal Field Theory |
| spellingShingle | Robin Karlsson Manuela Kulaxizi Andrei Parnachev Petar Tadić Leading multi-stress tensors and conformal bootstrap Journal of High Energy Physics AdS-CFT Correspondence Conformal Field Theory |
| title | Leading multi-stress tensors and conformal bootstrap |
| title_full | Leading multi-stress tensors and conformal bootstrap |
| title_fullStr | Leading multi-stress tensors and conformal bootstrap |
| title_full_unstemmed | Leading multi-stress tensors and conformal bootstrap |
| title_short | Leading multi-stress tensors and conformal bootstrap |
| title_sort | leading multi stress tensors and conformal bootstrap |
| topic | AdS-CFT Correspondence Conformal Field Theory |
| url | https://doi.org/10.1007/JHEP01(2020)076 |
| work_keys_str_mv | AT robinkarlsson leadingmultistresstensorsandconformalbootstrap AT manuelakulaxizi leadingmultistresstensorsandconformalbootstrap AT andreiparnachev leadingmultistresstensorsandconformalbootstrap AT petartadic leadingmultistresstensorsandconformalbootstrap |