Recursive relations for the S-matrix of Liouville theory
High Energy Physics - Theory
2025-07-17 v1
Abstract
We analyze the relation between the vertex operators of the in and out fields in Liouville theory. This is used to derive equations for the S-matrix, from which a recursive relation for the normal symbol of the S-matrix for discrete center-of-mass momenta is obtained. Its solution is expressed as multiple contour-integrals of a generalized Dotsenko-Fateev type. This agrees with the functional integral representation of the scattering matrix of Liouville theory which we had proposed previously.
Keywords
Cite
@article{arxiv.2507.11760,
title = {Recursive relations for the S-matrix of Liouville theory},
author = {George Jorjadze and Lado Razmadze and Stefan Theisen},
journal= {arXiv preprint arXiv:2507.11760},
year = {2025}
}
Comments
15 pages