Bootstrap in supersymmetric Liouville field theory. I. NS sector

A. Belavin, V. Belavin, A. Neveu, Al Zamolodchikov

Research output: Contribution to journalArticlepeer-review

32 Scopus citations


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.

Original languageEnglish
Pages (from-to)202-233
Number of pages32
JournalNuclear Physics B
Issue number3
StatePublished - 19 Nov 2007
Externally publishedYes


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