Multiplicity-free \(U_q(sl_N)\) 6-j symbols: relations, asymptotics, symmetries

DOI10.1016/j.nuclphysb.2020.115164zbMath1472.81122arXiv1912.13325OpenAlexW2998350709MaRDI QIDQ822982

Alexey Sleptsov, Victor Alekseev, Andrey Morozov

Publication date: 24 September 2021

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.13325

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (9)

Interplay between symmetries of quantum 6j-symbols and the eigenvalue hypothesis ⋮ A new symmetry of the colored Alexander polynomial ⋮ Tug-the-hook symmetry for quantum 6j-symbols ⋮ Large \(k\) topological quantum computer ⋮ Classical \(6j\)-symbols of finite-dimensional representations of the algebra \(\mathfrak{gl}_3\) ⋮ Distinguishing mutant knots ⋮ Quantum Racah matrices and 3-strand braids in representation \([3,3\)] ⋮ On knots, complements, and \(6j\)-symbols ⋮ Implications for colored HOMFLY polynomials from explicit formulas for group-theoretical structure

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