?
Geodesic description of Heavy-Light Virasoro blocks
Cornell
,
2017.
Geiko R., Belavin V.
We continue to investigate the dual description of the Virasoro conformal blocks
arising in the framework of the classical limit of the AdS 3 /CFT 2 correspondence. To give such
an interpretation in previous studies, certain restrictions were necessary. Our goal here is to
consider a more general situation available through the worldline approximation to the dual
AdS gravity. Namely, we are interested in computing the spherical conformal blocks without
the previously imposed restrictions on the conformal dimensions of the internal channels. The
duality is realised as an equality of the so-called heavy-light limit of the n-point conformal
block and the action of n−2 particles propagating in some AdS-like background with either
a conical singularity or a BTZ black hole. We describe a procedure that allows relaxing the
constraint on the intermediate channels. To obtain an explicit expression for the conformal
block on the CFT side, we use a recently proposed recursion procedure and find full agreement
between the results of the boundary and bulk computations.
Priority areas:
mathematics
Language:
English
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Пенза : ПГУ, 2015
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