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Speaker: Mikhail Pavlov

Affiliation:
LPI RAS

Title:
Perturbative classical conformal blocks and holography

Abstract:
We consider n-point Virasoro  conformal blocks with heavy operators assuming additional background/perturbative approximation. These blocks are calculated within the monodromy method, which is reduced to considering the monodromies of the Fuchsian equation. We elaborate this method in terms of the special (holographic) variables that naturally emerge in the context of AdS/CFT correspondence. In addition, we have explicitly calculated examples of 4- and 5-point conformal blocks with two and three background operators using these variables. Finally, we formulate the uniformization property which states that form of the blocks depends only on the number of perturbative operators.