Domain-wall boundaries through non-diagonal twists in the six-vertex model

Abstract

In this work we elaborate on a previous result relating the partition function of the six-vertex model with domain-wall boundary conditions to eigenvalues of a transfer matrix. More precisely, we express the aforementioned partition function as a determinant of a matrix with entries being eigenvalues of the anti-periodic six-vertex model's transfer matrix.

V1: 16 pages. V2: proof of Lemma 3.3 expanded, added remark 3.4. V3: extra results and discussions added, accepted for publication in JSTAT

References in corpus (2)

• Functional relations from the Yang-Baxter algebra: Eigenvalues of the XXZ model with non-diagonal twisted and open boundary conditions
• Six-vertex model and non-linear differential equations I. Spectral problem

Cited by in corpus (1)

• Functional relations in nineteen-vertex models with domain-wall boundaries