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...

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Main Authors:	Konstantin Alkalaev, Roman Geiko, Vladimir Rappoport
Format:	Article
Language:	English
Published:	SpringerOpen 2017-04-01
Series:	Journal of High Energy Physics
Subjects:	AdS-CFT Correspondence Conformal Field Theory
Online Access:	http://link.springer.com/article/10.1007/JHEP04(2017)070

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spelling	doaj-d735a176d73f48b0b544cb6f9cd7d7172020-11-24T21:48:00ZengSpringerOpenJournal 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
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Konstantin Alkalaev Roman Geiko Vladimir Rappoport
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
author_facet	Konstantin Alkalaev Roman Geiko Vladimir Rappoport
author_sort	Konstantin Alkalaev
title	Various semiclassical limits of torus conformal blocks
title_short	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_sort	various semiclassical limits of torus conformal blocks
publisher	SpringerOpen
series	Journal of High Energy Physics
issn	1029-8479
publishDate	2017-04-01
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.
topic	AdS-CFT Correspondence Conformal Field Theory
url	http://link.springer.com/article/10.1007/JHEP04(2017)070
work_keys_str_mv	AT konstantinalkalaev varioussemiclassicallimitsoftorusconformalblocks AT romangeiko varioussemiclassicallimitsoftorusconformalblocks AT vladimirrappoport varioussemiclassicallimitsoftorusconformalblocks
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Various semiclassical limits of torus conformal blocks

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