Note on quantum groups and integrable systems
- Authors: Popolitov A.1,2,3
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Affiliations:
- Alikhanov Institute for Theoretical and Experimental Physics
- Korteweg–de Vries Institute for Mathematics
- Institute for Information Transmission Problems
- Issue: Vol 103, No 2 (2016)
- Pages: 137-139
- Section: Methods of Theoretical Physics
- URL: https://journals.rcsi.science/0021-3640/article/view/158991
- DOI: https://doi.org/10.1134/S0021364016020107
- ID: 158991
Cite item
Abstract
The free-field formalism for quantum groups [preprint ITEP-M3/94, CRM-2202 hep-th/9409093] provides a special choice of coordinates on a quantum group. In these coordinates the construction of associated integrable system [arXiv:1207.1869] is especially simple. This choice also fits into general framework of cluster varieties [math.AG/0311245]—natural changes in coordinates are cluster mutations.
About the authors
A. Popolitov
Alikhanov Institute for Theoretical and Experimental Physics; Korteweg–de Vries Institute for Mathematics; Institute for Information Transmission Problems
Author for correspondence.
Email: popolit@itep.ru
Russian Federation, Moscow, 117218; Amsterdam, WX, 1012; Moscow, 127994
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