Report
Non-ultralocal classical r-matrix structure for 1+1 field analogue of elliptic Calogero-Moser model
| العنوان: | Non-ultralocal classical r-matrix structure for 1+1 field analogue of elliptic Calogero-Moser model |
|---|---|
| المؤلفون: | Zotov, A. |
| المصدر: | J. Phys. A: Math. Theor. 57 (2024) 315201 (28pp) |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics High Energy Physics - Theory Mathematical Physics Nonlinear Sciences |
| مصطلحات موضوعية: | High Energy Physics - Theory, Mathematical Physics, Nonlinear Sciences - Exactly Solvable and Integrable Systems |
| الوصف: | We consider 1+1 field generalization of the elliptic Calogero-Moser model. It is shown that the Lax connection satisfies the classical non-ultralocal $r$-matrix structure of Maillet type. Next, we consider 1+1 field analogue of the spin Calogero-Moser model and its multipole (or multispin) extension. Finally, we discuss the field analogue of the classical IRF-Vertex correspondence, which relates utralocal and non-ultralocal $r$-matrix structures. Comment: 26 pages, some comments and Appendix added |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1088/1751-8121/ad5ee1 |
| URL الوصول: | http://arxiv.org/abs/2404.01898 |
| رقم الانضمام: | edsarx.2404.01898 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1088/1751-8121/ad5ee1 |
|---|