Integral formula for elliptic SOS models with domain walls and a reflecting end

Abstract

In this paper we extend previous work of Galleas and the author to elliptic SOS models. We demonstrate that the dynamical reflection algebra can be exploited to obtain a functional equation characterizing the partition function of an elliptic SOS model with domain-wall boundaries and one reflecting end. Special attention is paid to the structure of the functional equation. Through this approach we find a novel multiple-integral formula for that partition function.

31 pages, 3 figures; v2: minor improvements, reference added

References in corpus (6)

• Functional relations from the Yang-Baxter algebra: Eigenvalues of the XXZ model with non-diagonal twisted and open boundary conditions
• SOS model partition function and the elliptic weight functions
• Reflection algebra and functional equations
• Influence of boundary conditions on bulk properties of six-vertex model
• Thermodynamic limit of the six-vertex model with reflecting end
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Cited by in corpus (7)

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• Higher rank elliptic partition functions and multisymmetric elliptic functions
• Scalar products of the elliptic Felderhof model and elliptic Cauchy formula
• Elliptic free-fermion model with OS boundary and elliptic Pfaffians