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Complete spectrum of quantum integrable lattice models associated to $\boldsymbol {\mathcal{U}_{q} (\widehat{gl_{n}})}$ by separation of variables - MaRDI portal

Complete spectrum of quantum integrable lattice models associated to $\boldsymbol {\mathcal{U}_{q} (\widehat{gl_{n}})}$ by separation of variables (Q5055665)

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scientific article; zbMATH DE number 7630963

Language	Label	Description	Also known as
English	Complete spectrum of quantum integrable lattice models associated to $\boldsymbol {\mathcal{U}_{q} (\widehat{gl_{n}})}$ by separation of variables	scientific article; zbMATH DE number 7630963

Statements

scholarly article

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Complete spectrum of quantum integrable lattice models associated to $\boldsymbol {\mathcal{U}_{q} (\widehat{gl_{n}})}$ by separation of variables (English)

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Journal of Physics A: Mathematical and Theoretical

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publication date

9 December 2022

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full work available at URL

https://arxiv.org/abs/1811.08405

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zbMATH Keywords

quantum integrable models

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separation of variables

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\(Q\)-operator

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Jean-Michel Maillet

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Giuliano Niccoli

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MaRDI profile type

MaRDI publication profile

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On quantum separation of variables

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Quantum inverse problem method. I

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Quantum version of the method of inverse scattering problem

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Quantum R matrix for the generalized Toda system

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A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation

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Restricted solid-on-solid models connected with simply laced algebras and conformal field theory

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A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation

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Yang-Baxter equation and representation theory. I

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Diagonalisation of GL(N) invariant transfer matrices and quantum N-wave system (Lee model)

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The Yangians, Bethe Ansatz and combinatorics

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The spectrum of the transfer matrices connected with Kac-Moody algebras

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FUNCTIONAL RELATIONS IN SOLVABLE LATTICE MODELS I: FUNCTIONAL RELATIONS AND REPRESENTATION THEORY

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The nested Bethe ansatz for ‘all’ closed spin chains

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Highest coefficient of scalar products in<i>S</i><i>U</i>(3)-invariant integrable models

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The algebraic Bethe ansatz for scalar products in<i>S</i><i>U</i>(3)-invariant integrable models

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Bethe vectors of<i>G</i><i>L</i>(3)-invariant integrable models

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Form factors in<i>S</i><i>U</i>(3)-invariant integrable models

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Form factors in quantum integrable models with \(GL(3)\)-invariant \(R\)-matrix

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Determinant representations for form factors in quantum integrable models with the \(\mathrm{GL}(3)\)-invariant \( R\)-matrix

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\(\mathrm{GL}(3)\)-based quantum integrable composite models. I: Bethe vectors

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\(\mathrm{GL}(3)\)-based quantum integrable composite models. II: Form factors of local operators

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Form factors of local operators in a one-dimensional two-component Bose gas

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On Bethe vectors in \( \mathfrak{g}{\mathfrak{l}}_3 \)-invariant integrable models

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Exact solution of an<i>su</i>(<i>n</i>) spin torus

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Separation of variables in the classical integrable \(\mathrm{SL}(3)\) magnetic chain

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Separation of variables in the quantum integrable models related to the Yangian \(\mathcal Y [sl (3)]\)

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Quantization of solitons and the restricted sine-Gordon model

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Structure of matrix elements in the quantum Toda chain

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Noncompact Heisenberg spin magnets from high-energy QCD. I: Baxter Q-operator and separation of variables

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Quantization of models with non-compact quantum group symmetry: modular XXZ magnet and lattice sinh-Gordon model

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The Baxter–Bazhanov–Stroganov model: separation of variables and the Baxter equation

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Separation of variables in the open \(XXX\) chain

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ON SEPARATION OF VARIABLES AND COMPLETENESS OF THE BETHE ANSATZ FOR QUANTUM <sub><i>N</i></sub> GAUDIN MODEL

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Schubert calculus and representations of the general linear group

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The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz

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Separation of variables for integrable spin-boson models

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The sine–Gordon model revisited: I

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Reconstruction of Baxter \(\mathbf Q\)-operator from Sklyanin SOV for cyclic representations of integrable quantum models

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Completeness of Bethe ansatz by Sklyanin SOV for cyclic representations of integrable quantum models

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Functional Bethe ansatz methods for the open<i>XXX</i>chain

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On the form factors of local operators in the lattice sine–Gordon model

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Non-diagonal open spin-1/2<i>X</i><i>X</i><i>Z</i>quantum chains by separation of variables: complete spectrum and matrix elements of some quasi-local operators

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Antiperiodic spin-1/2 \(XXZ\) quantum chains by separation of variables: complete spectrum and form factors

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An antiperiodic dynamical six-vertex model: I. Complete spectrum by SOV, matrix elements of the identity on separate states and connections to the periodic eight-vertex model

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Form factors and complete spectrum of XXX antiperiodic higher spin chains by quantum separation of variables

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On the form factors of local operators in the Bazhanov-Stroganov and chiral Potts models

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SOV approach for integrable quantum models associated with general representations on spin-1/2 chains of the 8-vertex reflection algebra

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The complete spectrum and scalar products for the open spin-1/2 XXZ quantum chains with non-diagonal boundary terms

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Open spin chains with generic integrable boundaries: Baxter equation and Bethe ansatz completeness from separation of variables

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Antiperiodic XXZ chains with arbitrary spins: complete eigenstate construction by functional equations in separation of variables

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Antiperiodic dynamical 6-vertex model by separation of variables II: functional equations and form factors

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The eight-vertex model with quasi-periodic boundary conditions

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On determinant representations of scalar products and form factors in the SoV approach: the XXX case

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Problems with using separated variables for computing expectation values for higher ranks

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The open XXX spin chain in the SoV framework: scalar product of separate states

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New construction of eigenstates and separation of variables for SU(\(N\)) quantum spin chains

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Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. I: Some fundamental eigenvectors.

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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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Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. III: Eigenvectors of the transfer matrix and Hamiltonian.

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Exact solution and interfacial tension of the six-vertex model with anti-periodic boundary conditions

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Exact solution for the spin-\(s\) \(XXZ\) quantum chain with non-diagonal twists

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Integrable structure of conformal field theory. II: \(Q\)-operator and DDV equation

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Integrable structure of conformal field theory. III: The Yang-Baxter relation

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Baxter's<i>Q</i>-operator for the homogeneous<i>XXX</i>spin chain

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On Baxter's \(Q\)-operator for the \(XXX\) spin chain

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A<i>Q</i>-operator for the twisted XXX model

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Factorization of the R-matrix and Baxter's \(Q\)-operator

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\(Q\)-operators in the six-vertex model

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Integrable light-cone lattice discretizations from the universal \(\text{R}\)-matrix

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Exercises with the universal<i>R</i>-matrix

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Quantum groups and functional relations for higher rank

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Oscillator versus prefundamental representations

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Oscillator versus prefundamental representations. II. Arbitrary higher ranks

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Boundary quantum group generators of type A

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Identifiers

10.1088/1751-8121/ab2930

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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:5055665

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