Torus shadow formalism and exact global conformal blocks
Abstract Using the shadow formalism we find global conformal blocks of torus CFT2. It is shown that n-point torus blocks in the “necklace” channel (a loop with n legs) are expressed in terms of a hypergeometric-type function which we refer to as the necklace function.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2023)157 |
| _version_ | 1797199716294852608 |
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| author | Konstantin Alkalaev Semyon Mandrygin |
| author_facet | Konstantin Alkalaev Semyon Mandrygin |
| author_sort | Konstantin Alkalaev |
| collection | DOAJ |
| description | Abstract Using the shadow formalism we find global conformal blocks of torus CFT2. It is shown that n-point torus blocks in the “necklace” channel (a loop with n legs) are expressed in terms of a hypergeometric-type function which we refer to as the necklace function. |
| first_indexed | 2024-03-09T15:32:37Z |
| format | Article |
| id | doaj.art-def4b248ce064f499cb9a61024c20705 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T07:20:10Z |
| publishDate | 2023-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-def4b248ce064f499cb9a61024c207052024-04-21T11:05:30ZengSpringerOpenJournal of High Energy Physics1029-84792023-11-0120231112610.1007/JHEP11(2023)157Torus shadow formalism and exact global conformal blocksKonstantin Alkalaev0Semyon Mandrygin1I.E. Tamm Department of Theoretical Physics, P.N. Lebedev Physical InstituteI.E. Tamm Department of Theoretical Physics, P.N. Lebedev Physical InstituteAbstract Using the shadow formalism we find global conformal blocks of torus CFT2. It is shown that n-point torus blocks in the “necklace” channel (a loop with n legs) are expressed in terms of a hypergeometric-type function which we refer to as the necklace function.https://doi.org/10.1007/JHEP11(2023)157Conformal and W SymmetryField Theories in Lower Dimensions |
| spellingShingle | Konstantin Alkalaev Semyon Mandrygin Torus shadow formalism and exact global conformal blocks Journal of High Energy Physics Conformal and W Symmetry Field Theories in Lower Dimensions |
| title | Torus shadow formalism and exact global conformal blocks |
| title_full | Torus shadow formalism and exact global conformal blocks |
| title_fullStr | Torus shadow formalism and exact global conformal blocks |
| title_full_unstemmed | Torus shadow formalism and exact global conformal blocks |
| title_short | Torus shadow formalism and exact global conformal blocks |
| title_sort | torus shadow formalism and exact global conformal blocks |
| topic | Conformal and W Symmetry Field Theories in Lower Dimensions |
| url | https://doi.org/10.1007/JHEP11(2023)157 |
| work_keys_str_mv | AT konstantinalkalaev torusshadowformalismandexactglobalconformalblocks AT semyonmandrygin torusshadowformalismandexactglobalconformalblocks |