Functional relations for the six vertex model with domain wall boundary conditions

Abstract

In this work we demonstrate that the Yang-Baxter algebra can also be employed in order to derive a functional relation for the partition function of the six vertex model with domain wall boundary conditions. The homogeneous limit is studied for small lattices and the properties determining the partition function are also discussed.

19 pages, v2: typos corrected, new section and appendix added. v3: minor corrections, to appear in J. Stat. Mech.

References in corpus (5)

• Functional relations from the Yang-Baxter algebra: Eigenvalues of the XXZ model with non-diagonal twisted and open boundary conditions
• The arctic curve of the domain-wall six-vertex model
• The Influence of Boundary Conditions in the Six-Vertex Model
• Domain wall partition functions and KP
• The role of orthogonal polynomials in the six-vertex model and its combinatorial applications

Cited by in corpus (23)

• Multiple integral representation for the trigonometric SOS model with domain wall boundaries
• Refined functional relations for the elliptic SOS model
• Correlation functions of the half-infinite XXZ spin chain with a triangular boundary
• Inhomogeneous Gaussian Free Field inside the interacting arctic curve
• A new representation for the partition function of the six vertex model with domain wall boundaries
• Reflection algebra and functional equations
• Multiple integral formula for the off-shell six vertex scalar product
• Off-shell scalar products for the $XXZ$ spin chain with open boundaries
• 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
• Partial differential equations from integrable vertex models
• New differential equations in the six-vertex model
• The Functional Method for the Domain-Wall Partition Function
• Differential approach to on-shell scalar products in six-vertex models
• Modified rational six vertex model on the rectangular lattice
• 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
• Continuous representations of scalar products of Bethe vectors
• Scalar product of Bethe vectors from functional equations
• New determinants in the 8VSOS model with domain-wall boundaries
• Functional relations in nineteen-vertex models with domain-wall boundaries
• Domain-wall boundaries through non-diagonal twists in the six-vertex model