Notes on the solutions of Zamolodchikov-type recursion relations in Virasoro minimal models

Nina Javerzat (LPTMS, CNRS, Université Paris-Sud, Université Paris-Saclay, Orsay, 91405, France) ; Raoul Santachiara (LPTMS, CNRS, Université Paris-Sud, Université Paris-Saclay, Orsay, 91405, France) ; Omar Foda (School of Mathematics and Statistics, University of Melbourne, Parkville, Victoria, 3010, Australia)

We study Virasoro minimal-model 4-point conformal blocks on the sphere and 0-point conformal blocks on the torus (the Virasoro characters), as solutions of Zamolodchikov-type recursion relations. In particular, we study the singularities due to resonances of the dimensions of conformal fields in minimal-model representations, that appear in the intermediate steps of solving the recursion relations, but cancel in the final results.

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      "surname": "Santachiara", 
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      "surname": "Foda", 
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Published on:
28 August 2018
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2018 (2018)
Issue 8
Pages 1-27
DOI:
https://doi.org/10.1007/JHEP08(2018)183
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

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