Recursive structure of the Gauß hypergeometric function and boundary/crosscap conformal block

Abstract

The Gauß hypergeometric function shows a recursive structure which resembles those found in conformal blocks. We compare it with the recursive structure of the conformal block in boundary/crosscap conformal field theories that is obtained from the representation theory. We find that the pole structure perfectly agrees but the recursive structure in the Gauß hypergeometric function is slightly ``off-shell".

10 pages

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• Selected Topics in Analytic Conformal Bootstrap: A Guided Journey