Reflection algebra and functional equations

DOI10.1016/j.nuclphysb.2014.07.016zbMath1325.82003arXiv1405.4281OpenAlexW2028899286MaRDI QIDQ894724

Jules Lamers, Wellington Galleas

Publication date: 23 November 2015

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.4281

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Quantum equilibrium statistical mechanics (general) (82B10) PDEs in connection with statistical mechanics (35Q82)

Related Items (13)

Scalar products of the elliptic Felderhof model and elliptic Cauchy formula ⋮ Off-shell scalar products for the \(XXZ\) spin chain with open boundaries ⋮ Boundary perimeter Bethe ansatz ⋮ Boundary correlations for the six-vertex model with reflecting end boundary condition ⋮ On the elliptic 𝔤𝔩2 solid-on-solid model: Functional relations and determinants ⋮ A class of partition functions associated with E τ,η gl3 by Izergin–Korepin analysis ⋮ Elliptic free-fermion model with OS boundary and elliptic Pfaffians ⋮ New differential equations in the six-vertex model ⋮ Arctic curve of the free-fermion six-vertex model with reflecting end boundary condition ⋮ Six-vertex model and non-linear differential equations. I: Spectral problem ⋮ The functional method for the domain-wall partition function ⋮ Quantum inverse scattering method and generalizations of symplectic Schur functions and Whittaker functions ⋮ Integral formula for elliptic SOS models with domain walls and a reflecting end

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiple integral representation for the trigonometric SOS model with domain wall boundaries
• Spin-spin correlation functions of the \(XXZ-1/2\) Heisenberg chain in a magnetic field
• Elliptic dynamical reflection algebra and partition function of SOS model with reflecting end
• Calculation of norms of Bethe wave functions
• Factorizing particles on a half-line and root systems
• Current algebras and Wess-Zumino model in two dimensions
• Quantum affine algebras and holonomic difference equations
• Diagonalization of the \(XXZ\) Hamiltonian by vertex operators
• \(XXZ\) chain with a boundary
• Difference equations in spin chains with a boundary
• Form factors of the \(XXZ\) Heisenberg spin-\(\frac 12\) finite chain
• Correlation functions of the \(XXZ\) Heisenberg spin-\({1\over 2}\) chain in a magnetic field
• Refined functional relations for the elliptic SOS model
• Antiperiodic spin-1/2 \(XXZ\) quantum chains by separation of variables: complete spectrum and form factors
• Scalar product of Bethe vectors from functional equations
• The half-infinite XXZ chain in Onsager's approach
• Functional relations from the Yang-Baxter algebra: Eigenvalues of the \(XXZ\) model with non-diagonal twisted and open boundary conditions
• The partition function of the trigonometric SOS model with a reflecting end
• A new representation for the partition function of the six-vertex model with domain wall boundaries
• The algebraic Bethe ansatz for scalar products inSU(3)-invariant integrable models
• Surface free energy of the open XXZ spin-1/2 chain
• Highest coefficient of scalar products inSU(3)-invariant integrable models
• Spontaneous staggered polarizations of the cyclic solid-on-solid model from the algebraic Bethe Ansatz
• Bethe vectors ofGL(3)-invariant integrable models
• An algebraic Bethe ansatz approach to form factors and correlation functions of the cyclic eight-vertex solid-on-solid model
• Form factors inSU(3)-invariant integrable models
• Quantum KZ equation with |q| = 1 and correlation functions of theXXZmodel in the gapless regime
• Thermodynamic limit of the six-vertex model with domain wall boundary conditions
• Determinant formula for the six-vertex model with reflecting end
• Boundary conditions for integrable quantum systems
• Partial differential equations from integrable vertex models
• Correlation functions of the openXXZchain: I
• Difference equations for the correlation functions of the eight-vertex model
• Form factors and complete spectrum of XXX antiperiodic higher spin chains by quantum separation of variables
• On the spin–spin correlation functions of the XXZ spin- infinite chain
• Surface free energy for systems with integrable boundary conditions
• DIFFERENTIAL EQUATIONS FOR QUANTUM CORRELATION FUNCTIONS
• Correlation functions of the openXXZchain: II

This page was built for publication: Reflection algebra and functional equations