English

Diagonal $K$-matrices and transfer matrix eigenspectra associated with the $G^{(1)}_2$ $R$-matrix

High Energy Physics - Theory 2016-09-06 v1

Abstract

We find all the diagonal KK-matrices for the RR-matrix associated with the minimal representation of the exceptional affine algebra G2(1)G^{(1)}_2. The corresponding transfer matrices are diagonalized with a variation of the analytic Bethe ansatz. We find many similarities with the case of the Izergin-Korepin RR-matrix associated with the affine algebra A2(2)A^{(2)}_2.

Keywords

Cite

@article{arxiv.hep-th/9502039,
  title  = {Diagonal $K$-matrices and transfer matrix eigenspectra associated with the $G^{(1)}_2$ $R$-matrix},
  author = {C. M. Yung and M. T. Batchelor},
  journal= {arXiv preprint arXiv:hep-th/9502039},
  year   = {2016}
}

Comments

11 pages, LaTeX