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arXiv · 2108.02381

Recursive structure of the Gau\ss{} hypergeometric function and boundary/crosscap conformal block

Yu Nakayama
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Abstract

The Gau\ss{} 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 Gau\ss{} hypergeometric function is slightly ``off-shell".

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Yu Nakayama. 2021-08-05. Recursive structure of the Gau\ss{} hypergeometric function and boundary/crosscap conformal block. https://doi.org/10.1142/s0217732321502722

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