On relation of the genus one Moore-Seiberg identity to the Baxter Q-operator in the hyperbolic Ruijsenaars model
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866918407746617344 |
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| author | Apresyan, Elena Sarkissian, Gor |
| author_facet | Apresyan, Elena Sarkissian, Gor |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_24123 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On relation of the genus one Moore-Seiberg identity to the Baxter Q-operator in the hyperbolic Ruijsenaars model Apresyan, Elena Sarkissian, Gor High Energy Physics - Theory 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. |
| title | On relation of the genus one Moore-Seiberg identity to the Baxter Q-operator in the hyperbolic Ruijsenaars model |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2603.24123 |