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- Bootstrap in Supersymmetric Liouville Field Theory. I. NS Sector doi link

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 : arxiv


Ref HAL: in2p3-00149084_v1
Ref Arxiv: hep-th/0703084
DOI: 10.1016/j.nuclphysb.2007.04.018
WoS: 000250291200002
Ref. & Cit.: NASA ADS
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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