c-Recursion for multi-point superconformal blocks. NS sector
Abstract We develop a recursive approach to computing Neveu-Schwarz conformal blocks associated with n-punctured Riemann surfaces. This work generalizes the results of [1] obtained recently for the Virasoro algebra. The method is based on the analysis of the analytic properties of the superconformal...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP08(2018)112 |
| _version_ | 1818953699172548608 |
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| author | Vladimir Belavin Roman Geiko |
| author_facet | Vladimir Belavin Roman Geiko |
| author_sort | Vladimir Belavin |
| collection | DOAJ |
| description | Abstract We develop a recursive approach to computing Neveu-Schwarz conformal blocks associated with n-punctured Riemann surfaces. This work generalizes the results of [1] obtained recently for the Virasoro algebra. The method is based on the analysis of the analytic properties of the superconformal blocks considered as functions of the central charge c. It consists of two main ingredients: the study of the singular behavior of the conformal blocks and the analysis of their asymptotic properties when c tends to infinity. The proposed construction is applicable for computing multi-point blocks in different topologies. We consider some examples for genus zero and one with different numbers of punctures. As a by-product, we propose a new way to solve the recursion relations, which gives more efficient computational procedure and can be applied to SCFT case as well as to pure Virasoro blocks. |
| first_indexed | 2024-12-20T10:10:25Z |
| format | Article |
| id | doaj.art-880c115dc85a4cf4a5c2e8e45ccb5095 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T10:10:25Z |
| publishDate | 2018-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-880c115dc85a4cf4a5c2e8e45ccb50952022-12-21T19:44:10ZengSpringerOpenJournal of High Energy Physics1029-84792018-08-012018812410.1007/JHEP08(2018)112c-Recursion for multi-point superconformal blocks. NS sectorVladimir Belavin0Roman Geiko1I.E. Tamm Department of Theoretical Physics, P.N. Lebedev Physical InstituteNational Research University Higher School of EconomicsAbstract We develop a recursive approach to computing Neveu-Schwarz conformal blocks associated with n-punctured Riemann surfaces. This work generalizes the results of [1] obtained recently for the Virasoro algebra. The method is based on the analysis of the analytic properties of the superconformal blocks considered as functions of the central charge c. It consists of two main ingredients: the study of the singular behavior of the conformal blocks and the analysis of their asymptotic properties when c tends to infinity. The proposed construction is applicable for computing multi-point blocks in different topologies. We consider some examples for genus zero and one with different numbers of punctures. As a by-product, we propose a new way to solve the recursion relations, which gives more efficient computational procedure and can be applied to SCFT case as well as to pure Virasoro blocks.http://link.springer.com/article/10.1007/JHEP08(2018)112Conformal Field TheoryConformal and W Symmetry |
| spellingShingle | Vladimir Belavin Roman Geiko c-Recursion for multi-point superconformal blocks. NS sector Journal of High Energy Physics Conformal Field Theory Conformal and W Symmetry |
| title | c-Recursion for multi-point superconformal blocks. NS sector |
| title_full | c-Recursion for multi-point superconformal blocks. NS sector |
| title_fullStr | c-Recursion for multi-point superconformal blocks. NS sector |
| title_full_unstemmed | c-Recursion for multi-point superconformal blocks. NS sector |
| title_short | c-Recursion for multi-point superconformal blocks. NS sector |
| title_sort | c recursion for multi point superconformal blocks ns sector |
| topic | Conformal Field Theory Conformal and W Symmetry |
| url | http://link.springer.com/article/10.1007/JHEP08(2018)112 |
| work_keys_str_mv | AT vladimirbelavin crecursionformultipointsuperconformalblocksnssector AT romangeiko crecursionformultipointsuperconformalblocksnssector |