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Generalized model of interacting integrable tops (Q2283404)

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Language	Label	Description	Also known as
English	Generalized model of interacting integrable tops	scientific article

Statements

scholarly article

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Generalized model of interacting integrable tops (English)

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Andrei V. Zotov

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Journal of High Energy Physics

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publication date

2 January 2020

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full work available at URL

https://arxiv.org/abs/1905.07820

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zbMATH Keywords

lattice integrable models

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matrix models

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differential and algebraic geometry

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MaRDI profile type

MaRDI publication profile

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Rational top and its classical<i>r</i>-matrix

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On trigonometric intertwining vectors and non-dynamical \(R\)-matrix for the Ruijsenaars model

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Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits

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Hamiltonian systems connected with the rotation group

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Note on the integration of Euler's equations of the dynamics of an \(n\)-dimensional rigid body

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Integral geodesics of a flow on Lie groups

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EULER EQUATIONS ON FINITE-DIMENSIONAL LIE GROUPS

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The \(r\)-matrix structure of the Euler-Calogero-Moser model

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Exact Yangian symmetry in the classical Euler-Calogero-Moser model

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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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Noncommutative Painlevé equations and systems of Calogero type

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

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Three integrable Hamiltonian systems connected with isospectral deformations

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Quantum versus classical integrability in Calogero$ndash$Moser systems

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Twisted traces of intertwiners for Kac-Moody algebras and classical dynamical \(R\)-matrices corresponding to generalized Belavin-Drinfeld triples

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Generalizations of Felder's elliptic dynamical \(r\)-matrices associated with twisted loop algebras of self-dual Lie algebras

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On some quadratic algebras. I \(\frac{1}{2}\): Combinatorics of Dunkl and Gaudin elements, Schubert, Grothendieck, Fuss-Catalan, universal Tutte and reduced polynomials

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A generalisation of the Calogero-Moser system

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On <i>R</i>-matrix valued Lax pairs for Calogero–Moser models

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Calogero-Moser model and \(R\)-matrix identities

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On the connection between the one-dimensional \(S=1/2\) Heisenberg chain and Haldane-Shastry model

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Infinite Symmetry of the Spin Systems with Inverse Square Interactions

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Trigonometric integrable tops from solutions of associative Yang-Baxter equation

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Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles

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

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Classical integrable systems and soliton equations related to eleven-vertex \(R\)-matrix

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Planck constant as spectral parameter in integrable systems and KZB equations

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Quantum Baxter-Belavin \(R\)-matrices and multidimensional Lax pairs for Painlevé VI

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Noncommutative extensions of elliptic integrable Euler–Arnold tops and Painlevé VI equation

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Characteristic classes and Hitchin systems. General construction

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Calogero-Moser systems for simple Lie groups and characteristic classes of bundles

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Hecke transformations of conformal blocks in WZW theory. I: KZB equations for non-trivial bundles

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Characteristic classes of ${\rm SL}(N, {\mathbb {C}})$-bundles and quantum dynamical elliptic R-matrices

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Spectral duality between Heisenberg chain and Gaudin model

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Spectral dualities in XXZ spin chains and five dimensional gauge theories

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Holomorphic bundles and many-body systems

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Classical Yang-Baxter equation and the \(A_\infty\)-constraint

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Generalized Calogero models through reductions by discrete symmetries

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The physics and mathematics of Calogero particles

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Trigonometric solutions of the associative Yang-Baxter equation

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Massey Products on Cycles of Projective Lines and Trigonometric Solutions of the Yang–Baxter Equations

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\(R\)-matrix-valued Lax pairs and long-range spin chains

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Some algebraic structures connected with the Yang-Baxter equation

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Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman

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Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura

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Integrable model of interacting elliptic tops

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Modifications of bundles, elliptic integrable systems, and related problems

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Relativistic elliptic matrix tops and finite Fourier transformations

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Identifiers

zbMATH Open document ID

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10.1007/JHEP10(2019)081

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2283404

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