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arXiv · 2507.11760

Recursive relations for the S-matrix of Liouville theory

George Jorjadze·Lado Razmadze·Stefan Theisen
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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.

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George Jorjadze, Lado Razmadze, Stefan Theisen. 2025-07-15. Recursive relations for the S-matrix of Liouville theory. https://arxiv.org/abs/2507.11760

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