Integrable systems and cluster algebras
| Autor: | Gekhtman, Michael, Izosimov, Anton |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | We review several constructions of integrable systems with an underlying cluster algebra structure, in particular the Gekhtman-Shapiro-Tabachnikov-Vainshtein construction based on perfect networks and the Goncharov-Kenyon approach based on the dimer model. We also discuss results of Galashin and Pylyavskyy on integrability of T-systems. Comment: Written for Encyclopedia of Mathematical Physics (2nd edition). 26 pages, 14 figures |
| Databáze: | arXiv |
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