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

References in corpus (7)

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• Colored knot polynomials for Pretzel knots and links of arbitrary genus
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Cited by in corpus (4)

• Difference of mutant knot invariants and their differential expansion
• Implications for colored HOMFLY polynomials from explicit formulas for group-theoretical structure
• Classical $6j$-symbols for finite dimensional representation of the algebra ${\mathfrak{gl}}_3$
• Entangling gates from cabling of knots