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Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra
Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain,
and representations of the Sklyanin algeb Page 1 Russian Mathematical Surveys Spin …
and representations of the Sklyanin algeb Page 1 Russian Mathematical Surveys Spin …
Integrable many-body systems and gauge theories
AS Gorskii - Theoretical and Mathematical Physics, 2000 - Springer
We review the study of the relation between integrable many-body systems and gauge
theories. We show that the degrees of freedom of integrable systems are related to the …
theories. We show that the degrees of freedom of integrable systems are related to the …
[كتاب][B] Isochronous systems
F Calogero - 2008 - books.google.com
A dynamical system is called isochronous if it features in its phase space an open, fully-
dimensional region where all its solutions are periodic in all its degrees of freedom with the …
dimensional region where all its solutions are periodic in all its degrees of freedom with the …
Quantum integrable models and discrete classical Hirota equations
The standard objects of quantum integrable systems are identified with elements of classical
nonlinear integrable difference equations. The functional relation for commuting quantum …
nonlinear integrable difference equations. The functional relation for commuting quantum …
Holomorphic bundles and many-body systems
We show that spin generalization of elliptic Calogero-Moser system, elliptic extension of
Gaudin model and their cousins are the degenerations of Hitchin systems. Applications to …
Gaudin model and their cousins are the degenerations of Hitchin systems. Applications to …
Integrability and Seiberg-Witten theory curves and periods
H Itoyama, A Morozov - Nuclear Physics B, 1996 - Elsevier
The interpretation of exact results on the low-energy limit of 4D N= 2 supersymmetric Yang-
Mills theory in the language of 1D integrable system of particles is discussed. The Riemann …
Mills theory in the language of 1D integrable system of particles is discussed. The Riemann …
Duality in integrable systems and gauge theories
We discuss various dualities, relating integrable systems and show that these dualities are
explained in the framework of hamiltonian and Poisson reductions. The dualities we study …
explained in the framework of hamiltonian and Poisson reductions. The dualities we study …
Calogero-Moser systems in SU (N) Seiberg-Witten theory
The Seiberg-Witten curve and differential for N= 2 supersymmetric SU (N) gauge theory, with
a massive hypermultiplet in the adjoint representation of the gauge group, are analyzed in …
a massive hypermultiplet in the adjoint representation of the gauge group, are analyzed in …
Quantum integrable systems and elliptic solutions of classical discrete nonlinear equations
In spite of the diversity of solvable models of quantum field theory and the vast variety of
methods, the final results display dramatic unification: the spectrum of an integrable theory …
methods, the final results display dramatic unification: the spectrum of an integrable theory …
Integrable systems. I
Integrable systems which do not have an “obvious “group symmetry, beginning with the
results of Poincaré and Bruns at the end of the last century, have been perceived as …
results of Poincaré and Bruns at the end of the last century, have been perceived as …