English

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

High Energy Physics - Theory 2022-01-26 v1

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".

Cite

@article{arxiv.2108.02381,
  title  = {Recursive structure of the Gau\ss{} hypergeometric function and boundary/crosscap conformal block},
  author = {Yu Nakayama},
  journal= {arXiv preprint arXiv:2108.02381},
  year   = {2022}
}

Comments

10 pages

R2 v1 2026-06-24T04:50:46.832Z