Multipoint lightcone bootstrap from differential equations
Abstract One of the most striking successes of the lightcone bootstrap has been the perturbative computation of the anomalous dimensions and OPE coefficients of double-twist operators with large spin. It is expected that similar results for multiple-twist families can be obtained by extending the li...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2023)011 |
| _version_ | 1827781317531533312 |
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| author | Apratim Kaviraj Jeremy A. Mann Lorenzo Quintavalle Volker Schomerus |
| author_facet | Apratim Kaviraj Jeremy A. Mann Lorenzo Quintavalle Volker Schomerus |
| author_sort | Apratim Kaviraj |
| collection | DOAJ |
| description | Abstract One of the most striking successes of the lightcone bootstrap has been the perturbative computation of the anomalous dimensions and OPE coefficients of double-twist operators with large spin. It is expected that similar results for multiple-twist families can be obtained by extending the lightcone bootstrap to multipoint correlators. However, very little was known about multipoint lightcone blocks until now, in particular for OPE channels of comb topology. Here, we develop a systematic theory of lightcone blocks for arbitrary OPE channels based on the analysis of Casimir and vertex differential equations. Most of the novel technology is developed in the context of five- and six-point functions. Equipped with new expressions for lightcone blocks, we analyze crossing symmetry equations and compute OPE coefficients involving two double-twist operators that were not known before. In particular, for the first time, we are able to resolve a discrete dependence on tensor structures at large spin. The computation of anomalous dimensions for triple-twist families from six-point crossing equations will be addressed in a sequel to this work. |
| first_indexed | 2024-03-11T15:17:10Z |
| format | Article |
| id | doaj.art-c1067ae38dcd4c05876c0606499ccb48 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T15:17:10Z |
| publishDate | 2023-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-c1067ae38dcd4c05876c0606499ccb482023-10-29T12:12:00ZengSpringerOpenJournal of High Energy Physics1029-84792023-08-012023819510.1007/JHEP08(2023)011Multipoint lightcone bootstrap from differential equationsApratim Kaviraj0Jeremy A. Mann1Lorenzo Quintavalle2Volker Schomerus3Deutsches Elektronen Synchroton DESYDeutsches Elektronen Synchroton DESYDeutsches Elektronen Synchroton DESYDeutsches Elektronen Synchroton DESYAbstract One of the most striking successes of the lightcone bootstrap has been the perturbative computation of the anomalous dimensions and OPE coefficients of double-twist operators with large spin. It is expected that similar results for multiple-twist families can be obtained by extending the lightcone bootstrap to multipoint correlators. However, very little was known about multipoint lightcone blocks until now, in particular for OPE channels of comb topology. Here, we develop a systematic theory of lightcone blocks for arbitrary OPE channels based on the analysis of Casimir and vertex differential equations. Most of the novel technology is developed in the context of five- and six-point functions. Equipped with new expressions for lightcone blocks, we analyze crossing symmetry equations and compute OPE coefficients involving two double-twist operators that were not known before. In particular, for the first time, we are able to resolve a discrete dependence on tensor structures at large spin. The computation of anomalous dimensions for triple-twist families from six-point crossing equations will be addressed in a sequel to this work.https://doi.org/10.1007/JHEP08(2023)011Scale and Conformal SymmetriesField Theories in Higher DimensionsSpace-Time SymmetriesDifferential and Algebraic Geometry |
| spellingShingle | Apratim Kaviraj Jeremy A. Mann Lorenzo Quintavalle Volker Schomerus Multipoint lightcone bootstrap from differential equations Journal of High Energy Physics Scale and Conformal Symmetries Field Theories in Higher Dimensions Space-Time Symmetries Differential and Algebraic Geometry |
| title | Multipoint lightcone bootstrap from differential equations |
| title_full | Multipoint lightcone bootstrap from differential equations |
| title_fullStr | Multipoint lightcone bootstrap from differential equations |
| title_full_unstemmed | Multipoint lightcone bootstrap from differential equations |
| title_short | Multipoint lightcone bootstrap from differential equations |
| title_sort | multipoint lightcone bootstrap from differential equations |
| topic | Scale and Conformal Symmetries Field Theories in Higher Dimensions Space-Time Symmetries Differential and Algebraic Geometry |
| url | https://doi.org/10.1007/JHEP08(2023)011 |
| work_keys_str_mv | AT apratimkaviraj multipointlightconebootstrapfromdifferentialequations AT jeremyamann multipointlightconebootstrapfromdifferentialequations AT lorenzoquintavalle multipointlightconebootstrapfromdifferentialequations AT volkerschomerus multipointlightconebootstrapfromdifferentialequations |