Bootstrap in Supersymmetric Liouville Field Theory. I. NS Sector

A. Belavin , V. Belavin , A. Neveu (1) , Al. Zamolodchikov (1)

1 LPTA - Laboratoire de Physique Théorique et Astroparticules

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.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

A. Belavin, V. Belavin, A. Neveu, Al. Zamolodchikov. Bootstrap in Supersymmetric Liouville Field Theory. I. NS Sector. Nuclear Physics B, 2007, 784/3, pp.202-233. ⟨10.1016/j.nuclphysb.2007.04.018⟩. ⟨in2p3-00149084⟩