Archive ouverte HAL – Notes on the solutions of Zamolodchikov-type recursion relations in Virasoro minimal models

Nina Javerzat 1 Raoul Santachiara 1 Omar Foda

JHEP, 2018, 08, pp.183. 〈10.1007/JHEP08(2018)183〉

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.

  • 1. LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques