The two-exponential Liouville theory and the uniqueness of the three-point function

It is shown that in the two-exponential version of Liouville theory the coefficients of the three-point functions of vertex operators can be determined uniquely using the translational invariance of the path integral measure and the self-consistency of the two-point functions. The result agrees with...

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Hauptverfasser: O'Raifeartaigh, Lochlainn (VerfasserIn) , Pawlowski, Jan M. (VerfasserIn) , Sreedhar, Vinnakota (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 30 May 2000
In: Physics letters
Year: 2000, Jahrgang: 481, Heft: 2, Pages: 436-444
ISSN:1873-2445
DOI:10.1016/S0370-2693(00)00448-2
Online-Zugang:Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1016/S0370-2693(00)00448-2
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Verfasserangaben:L. O'Raifeartaigh, J.M. Pawlowski, V.V. Sreedhar

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520 |a It is shown that in the two-exponential version of Liouville theory the coefficients of the three-point functions of vertex operators can be determined uniquely using the translational invariance of the path integral measure and the self-consistency of the two-point functions. The result agrees with that obtained using conformal bootstrap methods. Reflection symmetry and a previously conjectured relationship between the dimensional parameters of the theory and the overall scale are derived. 
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