Colored Vertex Models, Colored IRF Models and Invariants of Trivalent Colored Graphs

Details Colored Vertex Models, Colored IRF Models and Invariants of Trivalent Colored Graphs Colored Vertex Models, Colored IRF Models and Invariants of Trivalent Colored Graphs

1992-06-13

arxiv.org/abs/hep-th/9206057v1

Physics

High Energy Physics

High Energy Physics - Theory

39 pages, January 1992

Scientific paper

10.1143/JPSJ.62.19

We present formulas for the Clebsch-Gordan coefficients and the Racah coefficients for the root of unity representations ($N$-dimensional representations with $q^{2N}=1$) of $U_q(sl(2))$. We discuss colored vertex models and colored IRF (Interaction Round a Face) models from the color representations of $U_q(sl(2))$. We construct invariants of trivalent colored oriented framed graphs from color representations of $U_q(sl(2))$.

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