English

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

Mathematical Physics 2019-02-20 v3 math.MP Exactly Solvable and Integrable Systems

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.

Keywords

Cite

@article{arxiv.1807.03659,
  title  = {Domain-wall boundaries through non-diagonal twists in the six-vertex model},
  author = {W. Galleas},
  journal= {arXiv preprint arXiv:1807.03659},
  year   = {2019}
}

Comments

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