Refined functional relations for the elliptic SOS model

Abstract

In this work we refine the method of [1] and obtain a novel kind of functional equation determining the partition function of the elliptic SOS model with domain wall boundaries. This functional relation is originated from the dynamical Yang-Baxter algebra and its solution is given in terms of multiple contour integrals.

v2: details of derivations and reference added, typos fixed, accepted for publication in NPB

References in corpus (2)

• SOS model partition function and the elliptic weight functions
• Analytic theory of the eight-vertex model

Cited by in corpus (24)

• Algebraic Bethe Ansatz approach to form factors and correlation functions of the cyclic eight-vertex solid-on-solid model
• Reflection algebra and functional equations
• Elliptic solid-on-solid model's partition function as a single determinant
• Off-shell scalar products for the $XXZ$ spin chain with open boundaries
• Symmetric functions and wavefunctions of the six-vertex model by Izergin-Korepin analysis
• Twisted Heisenberg chain and the six-vertex model with DWBC
• Integral formula for elliptic SOS models with domain walls and a reflecting end
• Functional relations and the Yang-Baxter algebra
• Inversion identities for inhomogeneous face models
• Partial differential equations from integrable vertex models
• New differential equations in the six-vertex model
• Elliptic pfaffians and solvable lattice models
• The Functional Method for the Domain-Wall Partition Function
• Differential approach to on-shell scalar products in six-vertex models
• Elliptic supersymmetric integrable model and multivariable elliptic functions
• Scalar product of Bethe vectors from functional equations
• Six-vertex model and non-linear differential equations I. Spectral problem
• Continuous representations of scalar products of Bethe vectors
• On the elliptic ${\mathfrak{gl}}_2$ solid-on-solid model: functional relations and determinants
• Scalar products of the elliptic Felderhof model and elliptic Cauchy formula
• Domain-wall boundaries through non-diagonal twists in the six-vertex model
• Functional relations in nineteen-vertex models with domain-wall boundaries
• New determinants in the 8VSOS model with domain-wall boundaries
• Elliptic free-fermion model with OS boundary and elliptic Pfaffians