Domain wall partition function of the eight-vertex model with a non-diagonal reflecting end

Abstract

With the help of the Drinfeld twist or factorizing F-matrix for the eight-vertex SOS model, we obtain the explicit determinant expression of the partition function of the eight-vertex model with a generic non-diagonal reflecting end and domain wall boundary condition. Our result shows that, contrary to the eight-vertex model without a reflection end, the partition function can be expressed as a single determinant.

Latex file, 25 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:1107.5627

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• Symmetric functions and wavefunctions of the six-vertex model by Izergin-Korepin analysis
• Thermodynamic limit of the six-vertex model with reflecting end
• Elliptic supersymmetric integrable model and multivariable elliptic functions
• Quantum inverse scattering method and generalizations of symplectic Schur functions and Whittaker functions
• Drinfeld twist and symmetric Bethe vectors of the open XYZ chain with non-diagonal boundary terms
• Higher rank elliptic partition functions and multisymmetric elliptic functions
• A class of partition functions associated with $E_{\tau ,\eta }(g{l}_3)$ by Izergin-Korepin analysis
• Correlation functions of the XXZ spin chain with the twisted boundary condition
• Scalar products of the elliptic Felderhof model and elliptic Cauchy formula
• Elliptic free-fermion model with OS boundary and elliptic Pfaffians