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ВИДЕОТЕКА |
Международная конференция «Квантовая интегрируемость и геометрия», посвященная 60-летиям Н. А. Славнова и Л. О. Чехова
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Multi-pole extension for elliptic models of interacting integrable tops: relativistic and non-relativistic cases. E. S. Trunina Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region |
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Аннотация: We review and give detailed description for gl(NM) Gaudin models related to holomorphic vector bundles of rank NM and degree N over elliptic curve with n punctures. We present full classification for this type of integrable systems by summarizing the previously obtained results and describe the most general gl(NM) classical elliptic finite-dimensional integrable system, which includes all the known as particular cases. We also discuss relativistic analogue of these systems. We present a classification for relativistic Gaudin models on GL-bundles over elliptic curve and describe the most general gl(NM) classical elliptic finite-dimensional integrable system. Also, we provide R-matrix description for both relativistic and non-relativistic most general models through R-matrices satisfying associative Yang-Baxter equation. Язык доклада: английский |