Bootstrap in Supersymmetric Liouville Field Theory. I. NS Sector Auteur(s): Belavin A., Belavin V., Neveu A., Zamolodchikov Alexei (Article) Publié: Nuclear Physics B, vol. 784/3 p.202-233 (2007) Texte intégral en Openaccess : Ref HAL: in2p3-00149084_v1 Ref Arxiv: hep-th/0703084 DOI: 10.1016/j.nuclphysb.2007.04.018 WoS: 000250291200002 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote 31 Citations Résumé: A four point function of basic Neveu-Schwarz exponential fields is constructed in the N = 1 supersymmetric Liouville field theory. Although the basic NS structure constants were known previously, we present a new derivation, based on a singular vector decoupling in the NS sector. This allows to stay completely inside the NS sector of the space of states, without referencing to the Ramond fields. The four-point construction involves also the NS blocks, for which we suggest a new recursion representation, the so-called elliptic one. The bootstrap conditions for this four point correlation function are verified numerically for different values of the parameters. Commentaires: soumis Nuclear Physics B |