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Статья

Characteristic classes of SL(N)-bundles and quantum dynamical elliptic R-matrices

Journal of Physics A: Mathematical and Theoretical. 2013. Vol. 46. No. 3. P. 035201-035225.
Levin A., Olshanetsky M., Smirnov A., Zotov A.

We discuss quantum dynamical elliptic R-matrices related to arbitrary complex simple Lie group G. They generalize the known vertex and dynamical R-matrices and play an intermediate role between these two types. The R-matrices are defined by the corresponding characteristic classes describing the underlying vector bundles. The latter are related to elements of the center of G. While the known dynamical R-matrices are related to the bundles with trivial characteristic classes, the Baxter-Belavin-Drinfeld-Sklyanin vertex R-matrix corresponds to the generator of the center Z N of SL(N). We construct the R-matrices related to SL(N)-bundles with an arbitrary characteristic class explicitly and discuss the corresponding IRF models.