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

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

1995-02-07

arxiv.org/abs/hep-th/9502039v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX

Scientific paper

10.1016/0375-9601(95)00083-F

We find all the diagonal $K$-matrices for the $R$-matrix associated with the
minimal representation of the exceptional affine algebra $G^{(1)}_2$. 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 $R$-matrix associated with the affine algebra $A^{(2)}_2$.

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