Braiding operator via quantum cluster algebra

作者:Hikami Kazuhiro*; Inoue Rei
来源:Journal of Physics A-Mathematical and Theoretical, 2014, 47(47): 474006.
DOI:10.1088/1751-8113/47/47/474006

摘要

We construct a braiding operator in terms of the quantum dilogarithm function based on the quantum cluster algebra. We show that it is a q-deformation of the R-operator for which hyperbolic octahedron is assigned. Also shown is that, by taking q to be a root of unity, our braiding operator reduces to the Kashaev R-K-matrix up to a simple gauge-transformation.

  • 出版日期2014-11-28