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Bootstrap in Supersymmetric Liouville Field Theory. I. NS Sector | A.Belavin
; V.Belavin
; A.Neveu
; Al.Zamolodchikov
; PostScript
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; | Date: |
8 Mar 2007 | 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. | Source: | arXiv, hep-th/0703084 | Services: | Forum | Review | PDF | Favorites |
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