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Classical conformal blocks via AdS/CFT correspondence | | K.B. Alkalaev
; V.A. Belavin
; | | Date: |
22 Apr 2015 | | Abstract: | We continue to develop the holographic interpretation of classical conformal
blocks in terms of particles propagating in an asymptotically $AdS_3$ geometry.
We study $n$-point block with two heavy and $n-2$ light fields. Using the
worldline approach we propose and explicitly describe the corresponding bulk
configuration, which consists of $n-3$ particles propagating in the conical
defect background produced by the heavy fields. We test this general picture in
the case of five points. Using the special combinatorial representation of the
Virasoro conformal block we compute $5$-point classical block and find the
exact correspondence with the bulk worldline action. In particular, the bulk
analysis relies upon the special perturbative procedure which treats the
$5$-point case as a deformation of the $4$-pt case. | | Source: | arXiv, 1504.5943 | | Services: | Forum | Review | PDF | Favorites | |
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