Email this article On 6j-symbols for symmetric representations of Uq(suN)
- Authors: Mironov A.1,2,3,4, Morozov A.2,3,4, Sleptsov A.2,3,4,5
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Affiliations:
- Lebedev Physical Institute
- Alikhanov Institute of Theoretical and Experimental Physics
- Institute for Information Transmission Problems
- National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
- Laboratory of Quantum Topology
- Issue: Vol 106, No 10 (2017)
- Pages: 630-636
- Section: Fields, Particles, and Nuclei
- URL: https://journals.rcsi.science/0021-3640/article/view/160573
- DOI: https://doi.org/10.1134/S0021364017220040
- ID: 160573
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Abstract
Explicit expressions are found for the 6j symbols in symmetric representations of quantum suN through appropriate hypergeometric Askey–Wilson (q-Racah) polynomials. This generalizes the well-known classical formulas for Uq(su2) and provides a link to conformal theories and matrix models.
About the authors
A. Mironov
Lebedev Physical Institute; Alikhanov Institute of Theoretical and Experimental Physics; Institute for Information Transmission Problems; National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Author for correspondence.
Email: mironov@lpi.ru
Russian Federation, Moscow, 119991; Moscow, 117218; Moscow, 127994; Moscow, 115409
A. Morozov
Alikhanov Institute of Theoretical and Experimental Physics; Institute for Information Transmission Problems; National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Email: mironov@lpi.ru
Russian Federation, Moscow, 117218; Moscow, 127994; Moscow, 115409
A. Sleptsov
Alikhanov Institute of Theoretical and Experimental Physics; Institute for Information Transmission Problems; National Research Nuclear University MEPhI (Moscow Engineering Physics Institute); Laboratory of Quantum Topology
Email: mironov@lpi.ru
Russian Federation, Moscow, 117218; Moscow, 127994; Moscow, 115409; Chelyabinsk, 454001
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