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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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
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ISSN0370-2693
1873-2445
DOI10.1016/j.physletb.2007.02.023

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Abstract 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.
AbstractList 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.
Author Núñez, Carmen
Minces, Pablo
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Cites_doi 10.1063/1.1377273
10.1016/0550-3213(84)90374-2
10.1088/1126-6708/2005/06/014
10.1016/0550-3213(94)90245-3
10.1016/S0550-3213(99)00785-3
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10.1088/1126-6708/2005/09/045
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Issue 5-6
Keywords SL(2,R) group
Models
Consistency
Language English
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Snippet 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...
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Title Four point functions in the SL(2,R) WZW model
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