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Holographic variables for CFT$_2$ conformal blocks with heavy operators · Around

2020

Holographic variables for CFT$_2$ conformal blocks with heavy operators

Alkalaev, K. B., Pavlov, Mikhail

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We consider large-$c$ $n$-point Virasoro blocks with $n-k$ background heavy operators and $k$ perturbative heavy operators.

Conformal dimensions of heavy operators scale linearly with large $c$, while splitting into background/perturbative operators assumes an additional perturbative expansion.
Such conformal blocks can be calculated within the monodromy method that basically reduces to solving auxiliary Fuchsian second-order equation and finding monodromy of solutions.
We show that there exist particular variables that we call holographic, use of which drastically simplifies the whole analysis.

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