Bootstrap in supersymmetric Liouville field theory. I. NS sector
Abstract
A four point function of basic NeveuSchwarz 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 fourpoint construction involves also the NS blocks, for which we suggest a new recursion representation, the socalled elliptic one. The bootstrap conditions for this four point correlation function are verified numerically for different values of the parameters.
 Publication:

Nuclear Physics B
 Pub Date:
 November 2007
 DOI:
 10.1016/j.nuclphysb.2007.04.018
 arXiv:
 arXiv:hepth/0703084
 Bibcode:
 2007NuPhB.784..202B
 Keywords:

 High Energy Physics  Theory