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| VOLUME 108 (2018) | ISSUE 10 | PAGE 721 |
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New symmetries for the Uq(slN) 6-j symbols from the Eigenvalue conjecture
A. Morozov+*×, A. Sleptsov+*×°
+Moscow Institute of Physics and Technology, 141701 Dolgoprudny, Russia *Institute for Information Transmission Problems, 127994 Moscow, Russia ×Institute for Theoretical and Experimental Physics, 117218 Moscow, Russia °Laboratory of Quantum Topology, Chelyabinsk State University, 454001 Chelyabinsk, Russia
Abstract
In the present paper we discuss the eigenvalue conjecture, suggested in 2012, in the particular case of Uq(sl2). 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(sl2), when three representations coincide. This in perspective provides us a kind of generalization of the Regge symmetry to arbitrary Uq(slN). |