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04 December 2021
 
  » arxiv » 1512.7627

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From global to heavy-light: 5-point conformal blocks
K.B. Alkalaev ; V.A. Belavin ;
Date 23 Dec 2015
AbstractWe study Virasoro conformal blocks in the large central charge limit. There are different regimes for this limit depending on the behavior of the conformal parameters. Most simple regime is reduced to the global sl(2,C) conformal blocks while the most complicated one is known as the classical conformal blocks. Recently, Fitzpatrick, Kaplan, and Walters showed that there is a connection between these two extreme regimes via intermediate stage of the so-called heavy-light semiclassical limit. We study this idea in the particular case of 5-point block. The method requires first the computation of the global 5-point block. We find it using the projector technique and the Casimir operator approach. Further we discuss the connection between the global and the heavy-light limits and construct the 5-point heavy-light block from the global block. We find an agreement with the previously obtained results for the 5-point perturbative classical block by means of the monodromy method computations.
Source arXiv, 1512.7627
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