Recursive Relations for the S‐matrix of Liouville Theory
Abstract The relation between the vertex operators of the in and out fields in Liouville theory is analyzed. 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 had been proposed previously.
Authors
- George Jorjadze
- Stefan Theisen (ORCID: https://orcid.org/0000-0002-1133-6656)
- Lado Razmadze (ORCID: https://orcid.org/0000-0001-5935-0361)
Institutions
- Forschungszentrum Jülich (DE)
- Mathematical Institute of the Slovak Academy of Sciences (SK)
- Max Planck Institute for Gravitational Physics (DE)
- David Agmashenebeli University of Georgia (GE)
- Free University of Tbilisi (GE)
Publication Details
- Journal
- Fortschritte der Physik
- Published
- 2025-09-16
- DOI
- https://doi.org/10.1002/prop.70033
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Shota Rustaveli National Science Foundation