TY - JOUR

T1 - Bootstrap in supersymmetric Liouville field theory. I. NS sector

AU - Belavin, A.

AU - Belavin, V.

AU - Neveu, A.

AU - Zamolodchikov, Al

N1 - Funding Information:
V. Belavin thanks sincerely G. Mussardo and G. Delfino for their hospitality at SISSA and valuable discussions. His work was partially supported by the MIUR programme “Quantum field theory and statistical mechanics in low dimensions” and also by the grant RFBR 05-01-01007. A. Belavin acknowledges the hospitality of MPIM during his visit in February–March 2007 and a support by the grants RFBR 07-02-00799, RFBR-JSPS 05-01-02934, SS-2044-2003 and by the program RAS “Elementary particles and Fundamental nuclear physics”. Also he is grateful to R. Poghossian and L. Hadasz for useful discussions. Both A. Belavin and V. Belavin would like to express their sincere gratitude to G. Delfino, G. Mussardo, G. von Gehlen, R. Flume, A. Klumper and T. Miwa, whose help made their collaboration possible at different stages of the work. Work of Al.Z. was sponsored by the European Committee under contract EUCLID HRPN-CT-2002-00325. An important part has been made during his visit at the Department of Physics and Astronomy of the Rutgers University. Hospitality and stimulating scientific atmosphere of the Theory Group are greatly appreciated, as well as many discussions with A. Zamolodchikov.

PY - 2007/11/19

Y1 - 2007/11/19

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=34548697950&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2007.04.018

DO - 10.1016/j.nuclphysb.2007.04.018

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AN - SCOPUS:34548697950

SN - 0550-3213

VL - 784

SP - 202

EP - 233

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -