On the classical $r$-matrix structure of the rational $BC_n$ Ruijsenaars-Schneider-van Diejen system (Q5964181)

scientific article; zbMATH DE number 6546829

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English	On the classical $r$-matrix structure of the rational $BC_n$ Ruijsenaars-Schneider-van Diejen system	scientific article; zbMATH DE number 6546829

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scholarly article

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title

On the classical $r$-matrix structure of the rational $BC_n$ Ruijsenaars-Schneider-van Diejen system (English)

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author

B. G. Pusztai

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publication date

26 February 2016

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full work available at URL

https://arxiv.org/abs/1508.03556

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cites work

A new class of integrable systems and its relation to solitons

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Deformations of Calogero-Moser systems and finite Toda chains

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Action-angle maps and scattering theory for some finite-dimensional integrable systems. II: Solitons, antisolitons, and their bound states

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Relativistic Calogero-Moser model as gauged WZW theory.

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Q4263551

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The Ruijsenaars-Schneider model in the context of Seiberg-Witten theory.

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Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]

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High values of disorder-generated multifractals and logarithmically correlated processes

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Gaudin Hamiltonians generate the Bethe algebra of a tensor power of the vector representation of $\mathfrak{gl}_{N}$

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The master $T$-operator for the Gaudin model and the KP hierarchy

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Spectrum of quantum transfer matrices via classical many-body systems

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Supersymmetric quantum spin chains and classical integrable systems

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Rational top and its classicalr-matrix

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Classical integrable systems and soliton equations related to eleven-vertex $R$-matrix

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Integrability of the $C_n$ and $BC_n$ Ruijsenaars-Schneider models

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Action-angle duality between the $C_n$-type hyperbolic Sutherland and the rational Ruijsenaars-Schneider-van Diejen models

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The hyperbolic $BC_n$ Sutherland and the rational $BC_n$ Ruijsenaars-Schneider-Van Diejen models: Lax matrices and duality

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Scattering theory of the hyperbolic $BC_n$ Sutherland and the rational $BC_n$ Ruijsenaars-Schneider-Van Diejen models

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Lie groups beyond an introduction

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Spin Calogero models associated with Riemannian symmetric spaces of negative curvature

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A class of Calogero type reductions of free motion on a simple Lie group

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On the r-matrix structure of the hyperbolic BC n Sutherland model

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Classicalr-matrices and the Feigin–Odesskii algebra via Hamiltonian and Poisson reductions

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Introduction to Classical Integrable Systems

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Q4322606

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$R$-matrices for elliptic Calogero-Moser models

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Dynamicalr-matrix for the elliptic Ruijsenaars - Schneider system

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Dynamical R-matrices for Calogero models

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Structures in BCN Ruijsenaars–Schneider models

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Duality between the trigonometricBCnSutherland system and a completed rational Ruijsenaars–Schneider–van Diejen system

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The Lax pairs for elliptic $C_n$ and $BC_n$ Ruijsenaars-Schneider models and their spectral curves

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The $D_n$ Ruijsenaars-Schneider model

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Poisson-Lie interpretation of trigonometric Ruijsenaars duality

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Self-duality of the compactified Ruijsenaars-Schneider system from quasi-Hamiltonian reduction

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A new model in the Calogero-Ruijsenaars family

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The Gervais-Neveu-Felder equation and the quantum Calogero-Moser systems

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Why is the Ruijsenaars-Schneider hierarchy governed by the same $R$-operator as the Calogero-Moser one?

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Construction of dynamical quadratic algebras

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$R$-matrix quantization of the elliptic Ruijsenaars-Schneider model

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The dynamical twisting and nondynamical $r$-matrix structure of the elliptic Ruijsenaars-Schneider model

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published in

Nuclear Physics B

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Identifiers

zbMATH Open document ID

1331.81441

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Mathematics Subject Classification ID

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10.1016/J.NUCLPHYSB.2015.09.009

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Mathematics(1 entry)

mardi Publication:5964181

On the classical \(r\)-matrix structure of the rational \(BC_n\) Ruijsenaars-Schneider-van Diejen system (Q5964181)

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Identifiers

Sitelinks

Mathematics(1 entry)