Braiding operator via quantum cluster algebra

Kazuhiro Hikami, Rei Inoue

研究成果: ジャーナルへの寄稿記事

8 引用 (Scopus)

抄録

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 RK-matrix up to a simple gauge-transformation. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to 'Cluster algebras in mathematical physics'.

元の言語英語
記事番号474006
ジャーナルJournal of Physics A: Mathematical and Theoretical
47
発行部数47
DOI
出版物ステータス出版済み - 11 28 2014

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Cluster Algebra
Quantum Algebra
Algebra
Mathematical operators
algebra
Physics
operators
Operator
Dilogarithm
Gages
Octahedron
Q-deformation
physics
Gauge Transformation
Roots of Unity
unity
matrices

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

これを引用

Braiding operator via quantum cluster algebra. / Hikami, Kazuhiro; Inoue, Rei.

:: Journal of Physics A: Mathematical and Theoretical, 巻 47, 番号 47, 474006, 28.11.2014.

研究成果: ジャーナルへの寄稿記事

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