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

Nina Javerzat (1) , Raoul Santachiara (1) , Omar Foda

1 LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques

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.

Keywords: Conformal Field Theory; Lattice Integrable Models; character: Virasoro; model: minimal; conformal block; singularity; sphere; torus

Domains: High Energy Physics - Theory [hep-th]

Nina Javerzat, Raoul Santachiara, Omar Foda. Notes on the solutions of Zamolodchikov-type recursion relations in Virasoro minimal models. Journal of High Energy Physics, 2018, 08, pp.183. ⟨10.1007/JHEP08(2018)183⟩. ⟨hal-01823275⟩