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2018

New Properties of Large-$c$ Conformal Blocks from Recursion Relation

Kusuki, Yuya

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We study large $c$ conformal blocks outside the known limits.

This work seems to be hard, but it is possible numerically by using the Zamolodchikov recursion relation.
As a result, we find new some properties of large $c$ conformal blocks with a pair of two different dimensions for any channel and with various internal dimensions.
With light intermediate states, we find a Cardy-like asymptotic formula for large $c$ conformal blocks and also we find that the qualitative behavior of various large $c$ blocks drastically changes when the dimensions of external primary states reach the value $c/32$.

New Properties of Large-$c$ Conformal Blocks from Recursion Relation · Around

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