Various semiclassical limits of torus conformal blocks
Abstract We study four types of one-point torus blocks arising in the large central charge regime. There are the global block, the light block, the heavy-light block, and the linearized classical block, according to different regimes of conformal dimensions. It is shown that the blocks are not indep...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP04(2017)070 |
| _version_ | 1818940426934026240 |
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| author | Konstantin Alkalaev Roman Geiko Vladimir Rappoport |
| author_facet | Konstantin Alkalaev Roman Geiko Vladimir Rappoport |
| author_sort | Konstantin Alkalaev |
| collection | DOAJ |
| description | Abstract We study four types of one-point torus blocks arising in the large central charge regime. There are the global block, the light block, the heavy-light block, and the linearized classical block, according to different regimes of conformal dimensions. It is shown that the blocks are not independent being connected to each other by various links. We find that the global, light, and heavy-light blocks correspond to three different contractions of the Virasoro algebra. Also, we formulate the c-recursive representation of the one-point torus blocks which is relevant in the semiclassical approximation. |
| first_indexed | 2024-12-20T06:39:28Z |
| format | Article |
| id | doaj.art-d735a176d73f48b0b544cb6f9cd7d717 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T06:39:28Z |
| publishDate | 2017-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d735a176d73f48b0b544cb6f9cd7d7172022-12-21T19:49:54ZengSpringerOpenJournal of High Energy Physics1029-84792017-04-012017412210.1007/JHEP04(2017)070Various semiclassical limits of torus conformal blocksKonstantin Alkalaev0Roman Geiko1Vladimir Rappoport2I.E. Tamm Department of Theoretical Physics, P.N. Lebedev Physical InstituteMathematics Department, National Research University Higher School of EconomicsI.E. Tamm Department of Theoretical Physics, P.N. Lebedev Physical InstituteAbstract We study four types of one-point torus blocks arising in the large central charge regime. There are the global block, the light block, the heavy-light block, and the linearized classical block, according to different regimes of conformal dimensions. It is shown that the blocks are not independent being connected to each other by various links. We find that the global, light, and heavy-light blocks correspond to three different contractions of the Virasoro algebra. Also, we formulate the c-recursive representation of the one-point torus blocks which is relevant in the semiclassical approximation.http://link.springer.com/article/10.1007/JHEP04(2017)070AdS-CFT CorrespondenceConformal Field Theory |
| spellingShingle | Konstantin Alkalaev Roman Geiko Vladimir Rappoport Various semiclassical limits of torus conformal blocks Journal of High Energy Physics AdS-CFT Correspondence Conformal Field Theory |
| title | Various semiclassical limits of torus conformal blocks |
| title_full | Various semiclassical limits of torus conformal blocks |
| title_fullStr | Various semiclassical limits of torus conformal blocks |
| title_full_unstemmed | Various semiclassical limits of torus conformal blocks |
| title_short | Various semiclassical limits of torus conformal blocks |
| title_sort | various semiclassical limits of torus conformal blocks |
| topic | AdS-CFT Correspondence Conformal Field Theory |
| url | http://link.springer.com/article/10.1007/JHEP04(2017)070 |
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