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.
