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On separation of variables for reflection algebras (Q5131529)

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scientific article; zbMATH DE number 7271386

Language	Label	Description	Also known as
English	On separation of variables for reflection algebras	scientific article; zbMATH DE number 7271386

Statements

scholarly article

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On separation of variables for reflection algebras (English)

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Journal of Statistical Mechanics: Theory and Experiment

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publication date

8 November 2020

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full work available at URL

https://arxiv.org/abs/1904.00852

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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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Complete spectrum of quantum integrable lattice models associated to $\boldsymbol {\mathcal{U}_{q} (\widehat{gl_{n}})}$ by 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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Factorizing particles on a half-line and root systems

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Boundary conditions for integrable quantum systems

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Surface energy of integrable quantum spin chains

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The general U<sub>q</sub>(sl(2)) invariant XXZ integrable quantum spin chain

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Quadratic algebras and integrable systems

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INTEGRABILITY OF OPEN SPIN CHAINS WITH QUANTUM ALGEBRA SYMMETRY

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Boundary K-matrices for the six vertex and the n(2n-1)A<sub>n-1</sub>vertex models

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Boundary K-matrices for the XYZ, XXZ and XXX spin chains

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BOUNDARY S MATRIX AND BOUNDARY STATE IN TWO-DIMENSIONAL INTEGRABLE QUANTUM FIELD THEORY

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Analytical Bethe ansatz for a A<sub>2n-1</sub><sup>(2)</sup>, B<sub>n</sub><sup>(1)</sup>, C<sub>n</sub><sup>(1)</sup>, D<sub>n</sub><sup>(1)</sup>quantum-algebra-invariant open spin chains

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\(XXZ\) chain with a boundary

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Difference equations in spin chains with a boundary

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Algebraic Bethe ansatz for the eight-vertex model with general open boundary conditions

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Finite-size corrections in the<b><i>XXZ</i></b>model and the Hubbard model with boundary fields

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Graded reflection equations and the one-dimensional Hubbard open chain

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Lax pair and boundary \(K\)-matrices for the one-dimensional Hubbard model

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Bethe Ansatz Equation for the Hubbard Model with Boundary Fields

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Determinant formula for the six-vertex model with reflecting end

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Algebraic Bethe ansatz for the one-dimensional Hubbard model with open boundaries

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Spontaneous symmetry breaking in the<i>gl</i>(<i>N</i>)-NLS hierarchy on the half line

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Solving the open \(XXZ\) spin chain with nondiagonal boundary terms at roots of unity

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Completeness of the Bethe Ansatz solution of the open XXZ chain with nondiagonal boundary terms

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Exact solution of XXZ spin chain with unparallel boundary fields

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Fused integrable lattice models with quantum impurities and open boundaries

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Bethe ansatz solution of the open XXZ chain with nondiagonal boundary terms

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Bethe ansatz for the Temperley–Lieb loop model with open boundaries

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General boundary conditions for the and open spin chains

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Solution of the \(\text{SU}(N)\) vertex model with non-diagonal open boundaries

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Analytical Bethe ansatz for closed and open<i>gl</i>(Script N)-spin chains in any representation

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Spectrum and Bethe ansatz equations for the \(U_q(\text{gl}(N))\) closed and open spin chains in any representation

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The open<i>XXZ</i>and associated models at<i>q</i>root of unity

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\(Q\)-operator and \(T\)-\(Q\) relation from the fusion hierarchy

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Correlation functions of the open<i>XXZ</i>chain: I

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Exact spectrum of the XXZ open spin chain from the<i>q</i>-Onsager algebra representation theory

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A complete Bethe ansatz solution for the open spin-<i>s XXZ</i>chain with general integrable boundary terms

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Integrable spin-boson models descending from rational six-vertex models

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Correlation functions of the open<i>XXZ</i>chain: II

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Functional relations from the Yang-Baxter algebra: Eigenvalues of the \(XXZ\) model with non-diagonal twisted and open boundary conditions

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The nested Bethe ansatz for ‘all’ open spin chains with diagonal boundary conditions

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Nested algebraic Bethe ansatz for open \(GL(N)\) spin chains with projected K-matrices

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The partition function of the trigonometric SOS model with a reflecting end

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Spin chains with non-diagonal boundaries and trigonometric SOS model with reflecting end

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Elliptic dynamical reflection algebra and partition function of SOS model with reflecting end

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Generalized coordinate Bethe ansatz for non-diagonal boundaries

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Off-diagonal Bethe ansatz solutions of the anisotropic spin-\(\frac{1}{2}\) chains with arbitrary boundary fields

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The half-infinite XXZ chain in Onsager's approach

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Heisenberg XXX model with general boundaries: eigenvectors from algebraic Bethe ansatz

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Algebraic Bethe ansatz for open XXX model with triangular boundary matrices

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Modified algebraic Bethe ansatz for XXZ chain on the segment - I: Triangular cases

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Modified algebraic Bethe ansatz for XXZ chain on the segment. II: General cases

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Modified algebraic Bethe ansatz for XXZ chain on the segment. III. Proof

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Bethe ansatz solutions of the \(\tau_{2}\)-model with arbitrary boundary fields

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Non-abelian symmetries of the half-infinite XXZ spin chain

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

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Separation of variables for integrable spin-boson models

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

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

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

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Goryachev-Chaplygin top and the inverse scattering method

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

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Quantization of solitons and the restricted sine-Gordon model

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Null-vectors in integrable field theory

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Structure of matrix elements in the quantum Toda chain

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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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Factorized finite-size Ising model spin matrix elements from separation of variables

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Form-factors in the Baxter–Bazhanov–Stroganov model I: norms and matrix elements

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Form-factors in the Baxter–Bazhanov–Stroganov model II: Ising model on the finite lattice

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

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

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

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

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

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The eight-vertex model with quasi-periodic boundary conditions

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

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

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The XXZ model with anti-periodic twisted boundary conditions

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The hexagon in the mirror: the three-point function in the SoV representation

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Separated variables and wave functions for rational gl(N) spin chains in the companion twist frame

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

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

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Yang-Baxter equation and representation theory. I

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Exact solution of the Heisenberg XXZ model of spin s

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Variations on Slavnov's scalar product

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Identifiers

zbMATH Open document ID

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10.1088/1742-5468/ab357a

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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:5131529

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