Abstract
We continue our exercises with the universal R-matrix based on the Khoroshkin and Tolstoy formula. Here we present our results for the case of the twisted affine Kac–Moody Lie algebra of type A(2)2. Our interest in this case is inspired by the fact that the Tzitzéica equation is associated with A(2)2 in a similar way as the sine-Gordon equation is related to A(1)1. The fundamental spin-chain Hamiltonian is constructed systematically as the logarithmic derivative of the transfer matrix. L-operators of two types are obtained by using q-deformed oscillators.
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