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arXiv · 2603.24123

On relation of the genus one Moore-Seiberg identity to the Baxter Q-operator in the hyperbolic Ruijsenaars model

Elena Apresyan·Gor Sarkissian
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Abstract

In this paper we show how the Baxter Q-operator and the product formula for eigenfunctions of two-particle hyperbolic Ruijsenaars system can be derived from the genus one Moore-Seiberg duality identity in two-dimensional Liouville conformal field theory. We expect that this relation would reveal genuine role of the Moore-Seiberg identity in integrable systems.

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Elena Apresyan, Gor Sarkissian. 2026-03-25. On relation of the genus one Moore-Seiberg identity to the Baxter Q-operator in the hyperbolic Ruijsenaars model. https://doi.org/10.1007/jhep07(2026)269

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