Generalized hypergeometric series for Racah matrices in rectangular representations

DOI10.1142/S0217732318500207zbMath1381.81058arXiv1712.03647OpenAlexW3098263998MaRDI QIDQ4604641

A. Yu. Morozov

Publication date: 5 March 2018

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.03647

zbMATH Keywords

knot polynomialsdifferential expansionRacah matrices

Mathematics Subject Classification ID

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)

Related Items (2)

Cyclotomic expansions of HOMFLY-PT colored by rectangular Young diagrams ⋮ A slow review of the AGT correspondence

Cites Work

• Superpolynomials for torus knots from evolution induced by cut-and-join operators
• Differential expansion and rectangular HOMFLY for the figure eight knot
• Infinite conformal symmetry in two-dimensional quantum field theory
• Rectangular superpolynomials for the figure-eight knot \(4_1\)
• HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations
• On moduli space of symmetric orthogonal matrices and exclusive Racah matrix \(\overline{S}\) for representation \(R=[3,1\) with multiplicities]
• Racah matrices and hidden integrability in evolution of knots
• On rectangular HOMFLY for twist knots

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