# Recursion relations for conformal blocks

@article{Penedones2015RecursionRF,
title={Recursion relations for conformal blocks},
author={Jo{\~a}o Penedones and Emilio Trevisani and Masahito Yamazaki},
journal={Journal of High Energy Physics},
year={2015},
volume={2016},
pages={1-51}
}
• Published 1 September 2015
• Mathematics
• Journal of High Energy Physics
A bstractIn the context of conformal field theories in general space-time dimension, we find all the possible singularities of the conformal blocks as functions of the scaling dimension Δ of the exchanged operator. In particular, we argue, using representation theory of parabolic Verma modules, that in odd spacetime dimension the singularities are only simple poles. We discuss how to use this information to write recursion relations that determine the conformal blocks. We first recover the…
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