Multiple integral representation for the trigonometric SOS model with domain wall boundaries

Abstract

Using the dynamical Yang-Baxter algebra we derive a functional equation for the partition function of the trigonometric SOS model with domain wall boundary conditions. The solution of the equation is given in terms of a multiple contour integral.

28 pages, v2: comments and references added, typos fixed, to appear in NPB

References in corpus (2)

• SOS model partition function and the elliptic weight functions
• Multiple integral formula for the off-shell six vertex scalar product

Cited by in corpus (25)

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• Reflection algebra and functional equations
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• Twisted Heisenberg chain and the six-vertex model with DWBC
• Inversion identities for inhomogeneous face models
• Integral formula for elliptic SOS models with domain walls and a reflecting end
• Functional relations and the Yang-Baxter algebra
• Partial differential equations from integrable vertex models
• New differential equations in the six-vertex model
• Differential approach to on-shell scalar products in six-vertex models
• The Functional Method for the Domain-Wall Partition Function
• Boundary Perimeter Bethe Ansatz
• Elliptic supersymmetric integrable model and multivariable elliptic functions
• Quantum inverse scattering method and generalizations of symplectic Schur functions and Whittaker functions
• Six-vertex model and non-linear differential equations I. Spectral problem
• On the elliptic ${\mathfrak{gl}}_2$ solid-on-solid model: functional relations and determinants
• Scalar product of Bethe vectors from functional equations
• Domain-wall boundaries through non-diagonal twists in the six-vertex model
• Scalar products of the elliptic Felderhof model and elliptic Cauchy formula
• A class of partition functions associated with $E_{\tau ,\eta }(g{l}_3)$ by Izergin-Korepin analysis
• New determinants in the 8VSOS model with domain-wall boundaries
• Higher rank elliptic partition functions and multisymmetric elliptic functions
• Functional relations in nineteen-vertex models with domain-wall boundaries
• Elliptic free-fermion model with OS boundary and elliptic Pfaffians