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Characteristic Classes of SL(N)-Bundles and Quantum Dynamical Elliptic R-Matrices | | A. Levin
; M. Olshanetsky
; A. Smirnov
; A. Zotov
; | | Date: |
28 Aug 2012 | | Abstract: | 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 Z(G) 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. | | Source: | arXiv, 1208.5750 | | Services: | Forum | Review | PDF | Favorites | |
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