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Bootstrap in Supersymmetric Liouville Field Theory. I. NS Sector

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.
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http://hal.in2p3.fr/in2p3-00149084
Contributor : Francoise Duceau <>
Submitted on : Thursday, May 24, 2007 - 12:55:28 PM
Last modification on : Tuesday, November 19, 2019 - 9:08:02 PM

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

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