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

DOI10.1088/1742-5468/2010/06/L06001zbMath1456.82256arXiv1004.1015MaRDI QIDQ3301162

Nikolai Kitanine, Ghali Filali

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.1015

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

On the boundaries of quantum integrability for the spin-1/2 Richardson-Gaudin system ⋮ Reflection algebra and functional equations ⋮ Multiple integral representation for the trigonometric SOS model with domain wall boundaries ⋮ On separation of variables for reflection algebras ⋮ On the elliptic 𝔤𝔩2 solid-on-solid model: Functional relations and determinants ⋮ The open XXZ spin chain in the SoV framework: scalar product of separate states ⋮ An algebraic Bethe ansatz approach to form factors and correlation functions of the cyclic eight-vertex solid-on-solid model ⋮ The functional method for the domain-wall partition function ⋮ Quantum inverse scattering method and generalizations of symplectic Schur functions and Whittaker functions ⋮ Conserved currents in the six-vertex and trigonometric solid-on-solid models ⋮ Integral formula for elliptic SOS models with domain walls and a reflecting end

Cites Work

• Unnamed Item
• On representations of the elliptic quantum group \(E_ \tau,\eta(sl_ 2)\)
• Calculation of norms of Bethe wave functions
• Quantum inverse problem method. I
• An Izergin-Korepin-type identity for the 8VSOS model, with applications to alternating sign matrices
• Factorizing particles on a half-line and root systems
• Exact solution of XXZ spin chain with unparallel boundary fields
• 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
• Algebraic Bethe ansatz for the elliptic quantum group \(E_{\tau,\eta} (sl_2\))
• Symmetry classes of alternating-sign matrices under one roof
• The quantum inverse scattering method approach to correlation functions.
• BOUNDARY S MATRIX AND BOUNDARY STATE IN TWO-DIMENSIONAL INTEGRABLE QUANTUM FIELD THEORY
• The SOS model partition function and the elliptic weight functions
• Bethe ansatz solution of the open XXZ chain with nondiagonal boundary terms
• Determinant formula for the six-vertex model with reflecting end
• Boundary conditions for integrable quantum systems
• Correlation functions of the openXXZchain: I