Analytic continuation of 3-point functions of the conformal field theory

Abstract

It is shown that the general 3-point function $<{\Phi }_a{\Phi }_b{\Phi }_c>$, with continuous values of charges $a,b,c$ of a statistical model operators, and the 3-point function of the Liouville model, could all be obtained by successive analytical continuations starting from the 3-point function of the minimal model.

57 pages, 7 figures, one reference added, minor typos corrected, agrees with the journal version

References in corpus (1)

• Connectivities of Potts Fortuin-Kasteleyn clusters and time-like Liouville correlator

Cited by in corpus (5)

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• Probabilistic construction of non compactified imaginary Liouville field theory
• Conformal amplitude hierarchy and the Poincare disk