Four point functions in the SL(2,R) WZW model

We consider winding conserving four point functions in the SL(2,R) WZW model for states in arbitrary spectral flow sectors. We compute the leading order contribution to the expansion of the amplitudes in powers of the cross ratio of the four points on the worldsheet, both in the m- and x-basis, with...

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Bibliographic Details
Published inPhysics letters. B Vol. 647; no. 5-6; pp. 500 - 508
Main Authors Minces, Pablo, Núñez, Carmen
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 19.04.2007
Elsevier Science
Subjects
Exact sciences and technology
Nuclear physics
Physics
The physics of elementary particles and fields
SL(2,R) group
Models
Consistency
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ISSN0370-2693
1873-2445
DOI10.1016/j.physletb.2007.02.023

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Summary:We consider winding conserving four point functions in the SL(2,R) WZW model for states in arbitrary spectral flow sectors. We compute the leading order contribution to the expansion of the amplitudes in powers of the cross ratio of the four points on the worldsheet, both in the m- and x-basis, with at least one state in the spectral flow image of the highest weight discrete representation. We also perform certain consistency check on the winding conserving three point functions.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2007.02.023