On the Liouville three-point function

Details On the Liouville three-point function On the Liouville three-point function

1995-07-20

arxiv.org/abs/hep-th/9507109v1

Phys.Lett. B363 (1995) 65-70

Physics

High Energy Physics

High Energy Physics - Theory

8 Pages, LATEX

Scientific paper

10.1016/0370-2693(95)01200-A

The recently proposed expression for the general three point function of exponential fields in quantum Liouville theory on the sphere is considered. By exploiting locality or crossing symmetry in the case of those four-point functions, which may be expressed in terms of hypergeometric functions, a set of functional equations is found for the general three point function. It is shown that the expression proposed by the Zamolodchikovs solves these functional equations and that under certain assumptions the solution is unique.

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