Work

Recursive Relations for the S‐matrix of Liouville Theory

Year: 2025

Type: article

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.

Source: Fortschritte der Physik

DOI: 10.1002/prop.70033

Authors: George Jorjadze, Lado Razmadze, Stefan Theisen

Institutions: Tbilisi State University, Free University of Tbilisi, Forschungszentrum Jülich, Max Planck Institute for Gravitational Physics

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,460

Funders: National Science Foundation, Shota Rustaveli National Science Foundation