On
6j-symbols for symmetric representations of
A. Mironova,b,c,d, A. Morozovb,c,d 1), A. Sleptsovb,c,d,e 1)
aLebedev Physics Institute, 119991 Moscow, Russia
bAlikhanov Institute of Theoretical and Experimental Physics (ITEP), 117218 Moscow, Russia
cInstitute for Information Transmission Problems, 127994 Moscow, Russia
dNational Research Nuclear University MEPhI, 115409 Moscow, Russia
eLaboratory of Quantum Topology, Chelyabinsk State University, 454001 Chelyabinsk, Russia
Abstract
Explicit expressions are found for the 6j symbols in symmetric
representations of quantum
through appropriate hypergeometric Askey-Wilson (q-Racah) polynomials.
This generalizes the well-known classical formulas for
and provides a link to conformal theories and matrix models.