English

Twisted Heisenberg chain and the six-vertex model with DWBC

Mathematical Physics 2015-06-18 v3 math.MP

Abstract

In this work we establish a relation between the six-vertex model with Domain Wall Boundary Conditions (DWBC) and the XXZXXZ spin chain with anti-periodic twisted boundaries. More precisely, we demonstrate a formal relation between the zeroes of the partition function of the six-vertex model with DWBC and the zeroes of the transfer matrix eigenvalues associated with the six-vertex model with a particular non-diagonal boundary twist.

Keywords

Cite

@article{arxiv.1312.6817,
  title  = {Twisted Heisenberg chain and the six-vertex model with DWBC},
  author = {W. Galleas},
  journal= {arXiv preprint arXiv:1312.6817},
  year   = {2015}
}

Comments

17 pages. v2: 20 pages, presentation modified, details of derivations added, references added. v3: typos fixed, minor changes, accepted for publication in JSTAT