The Two-exponential Liouville Theory and the Uniqueness of the Three-point Function

Details The Two-exponential Liouville Theory and the Uniqueness of the Three-point Function The Two-exponential Liouville Theory and the Uniqueness of the Three-point Function

2000-03-27

arxiv.org/abs/hep-th/0003247v1

Phys.Lett. B481 (2000) 436-444

Physics

High Energy Physics

High Energy Physics - Theory

Plain TeX File; 15 Pages

Scientific paper

10.1016/S0370-2693(00)00448-2

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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