English

Rigged Configurations Approach For The Spin-1/2 Isotropic Heisenberg Model

Mathematical Physics 2015-04-03 v2 math.MP

Abstract

We continue the rigged configurations analysis of the solutions to the Bethe ansatz equations for the spin-1/2 isotropic Heisenberg model. We analyze the non self-conjugate strings of Deguchi-Giri and the counter example for the string hypothesis discovered by Essler-Korepin-Schoutens. In both cases clear discrete structures appear.

Keywords

Cite

@article{arxiv.1501.00532,
  title  = {Rigged Configurations Approach For The Spin-1/2 Isotropic Heisenberg Model},
  author = {Reiho Sakamoto},
  journal= {arXiv preprint arXiv:1501.00532},
  year   = {2015}
}

Comments

27 pages, final version. Another example of non self-conjugate strings is analyzed at page 11, some editorial modifications. Along with the main article, I upload a supplementary table in PDF format which will not appear in the journal version