Virasoro blocks and the reparametrization formalism
Abstract An effective theory designed to compute Virasoro identity blocks at large central charge, expressed in terms of the propagation of a reparametrization/shadow mode between bilocal vertices, was recently put forward. In this paper I provide the formal theoretical framework underlying this eff...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-04-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2023)143 |
| _version_ | 1797769739312824320 |
|---|---|
| author | Kevin Nguyen |
| author_facet | Kevin Nguyen |
| author_sort | Kevin Nguyen |
| collection | DOAJ |
| description | Abstract An effective theory designed to compute Virasoro identity blocks at large central charge, expressed in terms of the propagation of a reparametrization/shadow mode between bilocal vertices, was recently put forward. In this paper I provide the formal theoretical framework underlying this effective theory by reformulating it in terms of standard concepts: conformal geometry, generating functionals and Feynman diagrams. A key ingredient to this formalism is the bilocal vertex operator, or reparametrized two-point function, which is shown to generate arbitrary stress tensor insertions into a two-point function of reference. I also suggest an extension of the formalism designed to compute generic Virasoro blocks. |
| first_indexed | 2024-03-12T21:13:22Z |
| format | Article |
| id | doaj.art-d76d8009c39b45f4af3d192625a90765 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T21:13:22Z |
| publishDate | 2023-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d76d8009c39b45f4af3d192625a907652023-07-30T11:04:24ZengSpringerOpenJournal of High Energy Physics1029-84792023-04-012023411710.1007/JHEP04(2023)143Virasoro blocks and the reparametrization formalismKevin Nguyen0Department of Mathematics, King’s College LondonAbstract An effective theory designed to compute Virasoro identity blocks at large central charge, expressed in terms of the propagation of a reparametrization/shadow mode between bilocal vertices, was recently put forward. In this paper I provide the formal theoretical framework underlying this effective theory by reformulating it in terms of standard concepts: conformal geometry, generating functionals and Feynman diagrams. A key ingredient to this formalism is the bilocal vertex operator, or reparametrized two-point function, which is shown to generate arbitrary stress tensor insertions into a two-point function of reference. I also suggest an extension of the formalism designed to compute generic Virasoro blocks.https://doi.org/10.1007/JHEP04(2023)143Effective Field TheoriesScale and Conformal Symmetries |
| spellingShingle | Kevin Nguyen Virasoro blocks and the reparametrization formalism Journal of High Energy Physics Effective Field Theories Scale and Conformal Symmetries |
| title | Virasoro blocks and the reparametrization formalism |
| title_full | Virasoro blocks and the reparametrization formalism |
| title_fullStr | Virasoro blocks and the reparametrization formalism |
| title_full_unstemmed | Virasoro blocks and the reparametrization formalism |
| title_short | Virasoro blocks and the reparametrization formalism |
| title_sort | virasoro blocks and the reparametrization formalism |
| topic | Effective Field Theories Scale and Conformal Symmetries |
| url | https://doi.org/10.1007/JHEP04(2023)143 |
| work_keys_str_mv | AT kevinnguyen virasoroblocksandthereparametrizationformalism |