Ruijsenaars-Schneider three-body models with N = 2 supersymmetry
نویسندگان
چکیده
منابع مشابه
Structures in Bc N Ruijsenaars-schneider Models
We construct the classical r-matrix structure for the Lax formulation of BC N Ruijsenaars-Schneider systems proposed in [18]. The r-matrix structure takes a quadratic form similar to the A N Ruijsenaars-Schneider Poisson bracket behavior, although the dy-namical dependence is more complicated. Commuting Hamiltonians stemming from the BC N Ruijsenaars-Schneider Lax matrix are shown to be linear ...
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The Lax pair of the Ruijsenaars-Schneider model with interaction potential of trigonometric type based on Dn Lie algebra is presented. We give a general form for the Lax pair and prove partial results for small n. Liouville integrability of the corresponding system follows a series of involutive Hamiltonians generated by the characteristic polynomial of the Lax matrix. The rational case appears...
متن کاملRuijsenaars-Schneider models and their spectral curves
We study the elliptic Cn and BCn Ruijsenaars-Schneider models which is elliptic generalization of system given in [1]. The Lax pairs for these models are constructed by Hamiltonian reduction technology. We show that the spectral curves can be parameterized by the involutive integrals of motion for these models. Taking nonrelativistic limit and scaling limit, we verify that they lead to the syst...
متن کاملRuijsenaars-schneider Models and Their Spectral Curves
We study the elliptic C n and BC n Ruijsenaars-Schneider models which is elliptic generalization of system given in [1]. The Lax pairs for these models are constructed by Hamiltonian reduction technology. We show that the spectral curves can be parameter-ized by the involutive integrals of motion for these models. Taking nonrelativistic limit and scaling limit, we verify that they lead to the s...
متن کاملEigenvalues of Ruijsenaars - Schneider models associated with A n − 1 root system in Bethe ansatz formalism
Ruijsenaars-Schneider models associated with A n−1 root system with a discrete coupling constant are studied. The eigenvalues of the Hamiltonian are given in terms of the Bethe ansatz formulas. Taking the " non-relativistic " limit, we obtain the spectrum of the corresponding Calogero-Moser systems in the third formulas of Felder et al [22].
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2018
ISSN: 1029-8479
DOI: 10.1007/jhep04(2018)079