The R-operator for Modular Double

D. Chicherin, S. Derkachov

Published 2013-09-03Version 1

We construct the R-operator -- solution of the Yang-Baxter equation acting in the tensor product of two infinite-dimensional representations of Faddeev's modular double. This R-operator intertwines the product of two L-operators associated with the modular double and it is built from three basic operators generating the permutation group of four parameters S_4.