Large-c superconformal torus blocks
Abstract We study large-c SCFT2 on a torus specializing to one-point superblocks in the N $$ \mathcal{N} $$ = 1 Neveu-Schwarz sector. Considering different contractions of the Neveu-Schwarz superalgebra related to the large central charge limit we explicitly calculate three superblocks, osp(1|2) glo...
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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)042 |
| _version_ | 1811273747226689536 |
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| author | Konstantin Alkalaev Vladimir Belavin |
| author_facet | Konstantin Alkalaev Vladimir Belavin |
| author_sort | Konstantin Alkalaev |
| collection | DOAJ |
| description | Abstract We study large-c SCFT2 on a torus specializing to one-point superblocks in the N $$ \mathcal{N} $$ = 1 Neveu-Schwarz sector. Considering different contractions of the Neveu-Schwarz superalgebra related to the large central charge limit we explicitly calculate three superblocks, osp(1|2) global, light, and heavy-light superblocks, and show that they are related to each other. We formulate the osp(1|2) superCasimir eigenvalue equations and identify their particular solutions as the global superblocks. It is shown that the resulting differential equations are the Heun equations. We study exponentiated global superblocks arising at large conformal dimensions and demonstrate that in the leading approximation the osp(1|2) superblocks are equal to the non-supersymmetric sl(2) block. |
| first_indexed | 2024-04-12T23:06:02Z |
| format | Article |
| id | doaj.art-bbabb5cd1d17472f9823172e44b0a862 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T23:06:02Z |
| publishDate | 2018-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-bbabb5cd1d17472f9823172e44b0a8622022-12-22T03:12:55ZengSpringerOpenJournal of High Energy Physics1029-84792018-08-012018812110.1007/JHEP08(2018)042Large-c superconformal torus blocksKonstantin Alkalaev0Vladimir Belavin1I.E. Tamm Department of Theoretical Physics, P.N. Lebedev Physical InstituteI.E. Tamm Department of Theoretical Physics, P.N. Lebedev Physical InstituteAbstract We study large-c SCFT2 on a torus specializing to one-point superblocks in the N $$ \mathcal{N} $$ = 1 Neveu-Schwarz sector. Considering different contractions of the Neveu-Schwarz superalgebra related to the large central charge limit we explicitly calculate three superblocks, osp(1|2) global, light, and heavy-light superblocks, and show that they are related to each other. We formulate the osp(1|2) superCasimir eigenvalue equations and identify their particular solutions as the global superblocks. It is shown that the resulting differential equations are the Heun equations. We study exponentiated global superblocks arising at large conformal dimensions and demonstrate that in the leading approximation the osp(1|2) superblocks are equal to the non-supersymmetric sl(2) block.http://link.springer.com/article/10.1007/JHEP08(2018)042Conformal and W SymmetryConformal Field Theory |
| spellingShingle | Konstantin Alkalaev Vladimir Belavin Large-c superconformal torus blocks Journal of High Energy Physics Conformal and W Symmetry Conformal Field Theory |
| title | Large-c superconformal torus blocks |
| title_full | Large-c superconformal torus blocks |
| title_fullStr | Large-c superconformal torus blocks |
| title_full_unstemmed | Large-c superconformal torus blocks |
| title_short | Large-c superconformal torus blocks |
| title_sort | large c superconformal torus blocks |
| topic | Conformal and W Symmetry Conformal Field Theory |
| url | http://link.springer.com/article/10.1007/JHEP08(2018)042 |
| work_keys_str_mv | AT konstantinalkalaev largecsuperconformaltorusblocks AT vladimirbelavin largecsuperconformaltorusblocks |