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Mathematics Research Report CMA-MRR80-94
Diagonal K-matrices and transfer matrix eigenspectra associated
with the G(1)2 R-matrix
C.M. Yung and M.T. Batchelor
Abstract:
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 Beth ansatz.
We find many similarities with the case of the Izergin-Korepin
R-matrix
associated with the affine algebra
A(1)2.
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