New Symmetries for the Uq(slN) 6-j Symbols from the Eigenvalue Conjecture1


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Abstract

In the present paper, we discuss the eigenvalue conjecture, suggested in 2012, in the particular case of Uq(slN) 6-j The eigenvalue conjecture provides a certain symmetry for Racah coefficients and we prove that the eigenvalue conjecture is provided by the Regge symmetry for Uq(slN) 6-j, when three representations coincide. This in perspective provides us a kind of generalization of the Regge symmetry to arbitrary Uq(slN) 6-j.

About the authors

A. Morozov

Moscow Institute of Physics and Technology (State University); Institute for Information Transmission Problems; Institute for Theoretical and Experimental Physics

Email: sleptsov@itep.ru
Russian Federation, Dolgoprudnyi, Moscow region, 141701; Moscow, 127994; Moscow, 117218

A. Sleptsov

Moscow Institute of Physics and Technology (State University); Institute for Information Transmission Problems; Institute for Theoretical and Experimental Physics; Laboratory of Quantum Topology

Author for correspondence.
Email: sleptsov@itep.ru
Russian Federation, Dolgoprudnyi, Moscow region, 141701; Moscow, 127994; Moscow, 117218; Chelyabinsk, 454001

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