Abstract
SL-type zero-graded solutions of the dynamical Yang-Baxter equation in dimension 3 are classified. In addition to the well-known Drinfeld-Jimbo-type dynamical R matrices, the classification of so-called “regular” cases includes a quantization of the classical dynamical r matrix found by O. Schiffmann and a dynamical partner of the constant Cremmer-Gervais R matrix. Nonperturbative effects are exhibited.
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