pith. machine review for the scientific record. sign in

arxiv: hep-th/9507109 · v1 · submitted 1995-07-20 · ✦ hep-th

Recognition: unknown

On the Liouville three-point function

Authors on Pith no claims yet
classification ✦ hep-th
keywords functionequationsexpressionfunctionalfunctionsgeneralliouvillepoint
0
0 comments X
read the original abstract

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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. A perturbative Liouville prescription for the celestial three-gluon amplitude

    hep-th 2026-04 unverdicted novelty 6.0

    By fixing the Liouville-Mellin dictionary via conformal covariance and semiclassical consistency, the authors derive the leading and subleading b^2 terms of the celestial three-gluon amplitude from the DOZZ function, ...