The Two-exponential Liouville Theory and the Uniqueness of the Three-point Function
L. O'Raifeartaigh, J. M. Pawlowski, V. V. Sreedhar
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.
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