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Article overview
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Four-point conformal blocks with three heavy background operators | K.B. Alkalaev
; Mikhail Pavlov
; | Date: |
8 May 2019 | Abstract: | We study CFT$_2$ Virasoro conformal blocks of the 4-point correlation
function $langle mathcal{O}_L mathcal{O}_H mathcal{O}_H mathcal{O}_H
angle $ with three background operators $mathcal{O}_H$ and one perturbative
operator $mathcal{O}_L$ of dimensions $Delta_L/Delta_H ll1$. The conformal
block function is calculated in the large central charge limit using the
monodromy method. From the holographic perspective, the background operators
create $AdS_3$ space with three conical singularities parameterized by
dimensions $Delta_H$, while the perturbative operator corresponds to the
geodesic line stretched from the boundary to the bulk. The geodesic length
calculates the perturbative conformal block. We propose how to address the
block/length correspondence problem in the general case of higher-point
correlation functions $langle mathcal{O}_L cdots mathcal{O}_L mathcal{O}_H
cdots mathcal{O}_H
angle $ with arbitrary numbers of background and
perturbative operators. | Source: | arXiv, 1905.3195 | Services: | Forum | Review | PDF | Favorites |
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