Field analogue of the Ruijsenaars-Schneider model (Q2104588)

scientific article; zbMATH DE number 7628243

Language	Label	Description	Also known as
English	Field analogue of the Ruijsenaars-Schneider model	scientific article; zbMATH DE number 7628243

Statements

instance of

scholarly article

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title

Field analogue of the Ruijsenaars-Schneider model (English)

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author

Yanyan Li

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published in

Journal of High Energy Physics

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publication date

7 December 2022

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full work available at URL

https://arxiv.org/abs/2107.01697

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zbMATH Keywords

integrable field theories

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integrable hierarchies

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lattice integrable models

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quantum groups

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MaRDI profile type

Publication

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cites work

A new class of integrable systems and its relation to solitons

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Complete integrability of relativistic Calogero-Moser systems and elliptic function identities

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Elliptic families of solutions of the Kadomtsev-Petviashvili equation, and the field analogue of the elliptic Calogero-Moser system

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Hitchin systems -- symplectic Hecke correspondence and two-dimensional version

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Field theory generalizations of two-body Calogero-Moser models in the form of Landau-Lifshitz equations

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Q3895946

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Poisson structure of a periodic classical XYZ-chain

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Some algebraic structures connected with the Yang-Baxter equation

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Some algebraic structures connected with the Yang-Baxter equation. Representations of quantum algebras

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Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman

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Solutions of the classical Yang-Baxter equation for simple Lie algebras

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Partition function of the eight-vertex lattice model

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Dynamical symmetry of integrable quantum systems

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Trigonometric integrable tops from solutions of associative Yang-Baxter equation

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Generalized model of interacting integrable tops

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Calogero-Moser model and $R$-matrix identities

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Ruijsenaars' commuting difference operators as commuting transfer matrices

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On trigonometric intertwining vectors and non-dynamical $R$-matrix for the Ruijsenaars model

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Dynamicalr-matrix for the elliptic Ruijsenaars - Schneider system

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Generalized Sklyanin algebra and integrable lattice models

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On factorized Lax pairs for classical many-body integrable systems

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Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. II: Equivalence to a generalized ice-type lattice model.

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Solvable lattice models whose states are dominant integral weights of $A^{(1)}_{n-1}$

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AN $A_{n - 1}^{\left( 1 \right)} $ FAMILY OF SOLVABLE LATTICE MODELS

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Etiology of IRF models

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Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem

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Rational solutions of the Kadomtsev-Petviashvili equation and integrable systems of $n$ particles on a line

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Algebraic independence of the values of elliptic function at algebraic points. Elliptic analogue of the Lindemann-Weierstrass theorem

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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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Three integrable Hamiltonian systems connected with isospectral deformations

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Q3913192

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Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra

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Elliptic solutions to integrable nonlinear equations and many-body systems

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METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS

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Theta functions and non-linear equations

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Quadratic algebras related to elliptic curves

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Q3697941

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Solitons and infinite dimensional Lie algebras

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Elliptic solutions to difference nonlinear equations and related many-body problems

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Integrable time-discretization of the Ruijsenaars-Schneider model

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On elliptic Lax systems on the lattice and a compound theorem for hyperdeterminants

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Vector bundles and Lax equations on algebraic curves

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Elliptic quantum groups

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

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Associative Yang-Baxter equation for quantum (semi-)dynamical R-matrices

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Identifiers

DOI

10.1007/JHEP07(2022)023

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Mathematics Subject Classification ID

81-XX

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zbMATH DE Number

7628243

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Sitelinks

Mathematics(1 entry)

mardi Publication:2104588