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New Symmetries for the Uq(slN) 6-j Symbols from the Eigenvalue Conjecture1 |
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| Authors: | Morozov A Sleptsov A |
| Institution: | 1.Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow region, 141701, Russia ;2.Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, 127994, Russia ;3.Institute for Theoretical and Experimental Physics, Moscow, 117218, Russia ;4.Laboratory of Quantum Topology, Chelyabinsk State University, Chelyabinsk, 454001, Russia ; |
| 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. |
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