Boundary Perimeter Bethe Ansatz
Mathematical Physics
2017-06-28 v1 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
We study the partition function of the six-vertex model in the rational limit on arbitrary Baxter lattices with reflecting boundary. Every such lattice is interpreted as an invariant of the twisted Yangian. This identification allows us to relate the partition function of the vertex model to the Bethe wave function of an open spin chain. We obtain the partition function in terms of creation operators on a reference state from the algebraic Bethe ansatz and as a sum of permutations and reflections from the coordinate Bethe ansatz.
Cite
@article{arxiv.1703.10842,
title = {Boundary Perimeter Bethe Ansatz},
author = {Rouven Frassek},
journal= {arXiv preprint arXiv:1703.10842},
year = {2017}
}
Comments
21 pages, 10 figures