Email this article New Symmetries for the Uq(slN) 6-j Symbols from the Eigenvalue Conjecture1
- Authors: Morozov A.1,2,3, Sleptsov A.1,2,3,4
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Affiliations:
- Moscow Institute of Physics and Technology (State University)
- Institute for Information Transmission Problems
- Institute for Theoretical and Experimental Physics
- Laboratory of Quantum Topology
- Issue: Vol 108, No 10 (2018)
- Pages: 697-704
- Section: Methods of Theoretical Physics
- URL: https://journals.rcsi.science/0021-3640/article/view/161283
- DOI: https://doi.org/10.1134/S0021364018220058
- ID: 161283
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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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