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From global to heavy-light: 5-point conformal blocks | | K.B. Alkalaev
; V.A. Belavin
; | | Date: |
23 Dec 2015 | | Abstract: | We 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 | | Services: | Forum | Review | PDF | Favorites | |
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