Bootstrap in Supersymmetric Liouville Field Theory. I. NS Sector
High Energy Physics - Theory
2008-11-26 v1
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0703084,
title = {Bootstrap in Supersymmetric Liouville Field Theory. I. NS Sector},
author = {A. Belavin and V. Belavin and A. Neveu and Al. Zamolodchikov},
journal= {arXiv preprint arXiv:hep-th/0703084},
year = {2008}
}