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

Abstract

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.

9 pages

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Cited by in corpus (1)

• Difference of mutant knot invariants and their differential expansion