A Compatible System of Equations Related to the Lie Superalgebra gl(n|m) and Integrable Calogero–Moser Model
- Authors: Dotsenko E.1,2
- 
							Affiliations: 
							- National Research Center Kurchatov Institute
- Faculty of Mathematics, National Research University Higher School of Economic
 
- Issue: Vol 117, No 3-4 (2) (2023)
- Pages: 319-320
- Section: Articles
- URL: https://cardiosomatics.ru/0370-274X/article/view/663558
- DOI: https://doi.org/10.31857/S1234567823040122
- EDN: https://elibrary.ru/PJSZQW
- ID: 663558
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Abstract
A joint system of equations based on the superalgebra has been determined and its relation to the integrable Calodgero–Moser system of particles has been established.
About the authors
E. Dotsenko
National Research Center Kurchatov Institute; Faculty of Mathematics, National Research University Higher School of Economic
							Author for correspondence.
							Email: edotsenko95@gmail.com
				                					                																			                												                								123182, Moscow, Russia; 119048, Moscow, Russia						
References
- Y. Aharonov and D. Bohm, Phys. Rev. 115, 485 (1959).
- V. G. Knizhnik and A. B. Zamolodchikov, Nucl. Phys. B 247(1), 83 (1984).
- A. Matsuo, Invent. Math. 110, 95 (1992).
- I. Cherednik, Adv. Math. 106, 65 (1994).
- V. T. Laredo, J. Algebra 329(1), 286 (2011).
- A. Grekov, A. Zabrodin, and A. Zotov, Nucl. Phys. B 939, 174 (2019).
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