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

• Verfasst von: O'Raifeartaigh, Lochlainn [VerfasserIn]
• Verfasst von: Pawlowski, Jan M. [VerfasserIn]
• Verfasst von: Sreedhar, Vinnakota [VerfasserIn]
• Titel: The two-exponential Liouville theory and the uniqueness of the three-point function
• Verf.angabe: L. O'Raifeartaigh, J.M. Pawlowski, and V.V. Sreedhar
• Fussnoten: Gesehen am 06.12.2017
• Titel Quelle: Enthalten in: De.arxiv.org
• Jahr Quelle: 2000
• Band/Heft Quelle: (2000) Artikel-Nummer 0003247, 15 Seiten
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1566093252

Abstract

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.