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arxiv: 1309.0803 · v1 · pith:D64LXMG4new · submitted 2013-09-03 · 🧮 math-ph · hep-th· math.MP· nlin.SI

The R-operator for Modular Double

classification 🧮 math-ph hep-thmath.MPnlin.SI
keywords doublemodularr-operatorproductactingassociatedbasicbuilt
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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.

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