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arxiv: 1709.02290 · v2 · submitted 2017-09-07 · ✦ hep-th · math-ph· math.MP· math.QA

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On 6j-symbols for symmetric representations of U_q(mathfrak{su}_N)

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classification ✦ hep-th math-phmath.MPmath.QA
keywords mathfrakrepresentationssymbolssymmetricappropriateaskey-wilsonclassicalconformal
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Explicit expressions are found for the $6j$ symbols in symmetric representations of quantum $\mathfrak{su}_N$ through appropriate hypergeometric Askey-Wilson (q-Racah) polynomials. This generalizes the well-known classical formulas for $U_q(\mathfrak{su}_2)$ and provides a link to conformal theories and matrix models.

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Cited by 1 Pith paper

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