A Bäcklund transformation for elliptic four-point conformal blocks Auteur(s): Neveu A. (Document sans référence bibliographique) Texte intégral en Openaccess : Ref HAL: hal-01757993_v1 Ref Arxiv: 1803.03564 Ref INSPIRE: 1659300 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote Résumé: We apply an integral transformation to solutions of a partial differential equation for five-point correlation functions in Liouville theory on a sphere with one degenerate field $V_{-\frac{1}{2b}}$. By repeating this transformation, we can reach a whole lattice of values for the conformal dimensions of the four other operators. Factorizing out the degenerate field leads to integral representations of the corresponding four-point conformal blocks. We illustrate this procedure on the elliptic conformal blocks discovered in a previous publication. |