On differential equation on four-point correlation function in the Conformal Toda Field Theory Auteur(s): Fateev V., Litvinov A. V. (Article) Publié: Jetp Letters / Sov Phys Jetp Lett, vol. 81 p.594-598 (2005) Texte intégral en Openaccess : Ref HAL: in2p3-00024399_v1 Ref Arxiv: hep-th/0505120 DOI: 10.1134/1.2029952 WoS: 000231017100013 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote 32 Citations Résumé: The properties of completely degenerate fields in the Conformal Toda Field Theory are studied. It is shown that a generic four-point correlation function that contains only one such field does not satisfy ordinary differential equation in contrast to the Liouville Field Theory. Some additional assumptions for other fields are required. Under these assumptions we write such a differential equation and solve it explicitly. We use the fusion properties of the operator algebra to derive a special set of three-point correlation function. The result agrees with the semiclassical calculations. Commentaires: 5 pages - voir aussi Pisma Zh.Eksp.Teor.Fiz. 81 (2005) 728-732 |