The SU(3) ⊃ SO(3) missing label problem and the analytical Bethe Ansatz-Reference-Cited by-同舟云学术

The SU(3) ⊃ SO(3) missing label problem and the analytical Bethe Ansatz

Published:2022-03-20 Issue:08 Volume:37 Page:
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

Crampé Nicolas¹²,Shaaban Kabakibo Dounia³,Vinet Luc⁴

Affiliation:

1. Institut Denis-Poisson, CNRS/UMR 7013, Université de Tours, Parc de Grandmont, 37200 Tours, France

2. Institut Denis-Poisson, CNRS/UMR 7013, Université d’Orléans, Orléans Cedex 2, France

3. Centre de Recherches Mathématiques, Université de Montréal, P.O. Box 6128, Centre-Ville Station, Montréal, Québec, H3C 3J7 Canada

4. Insitut de Valorisation des données IVADO, Montréal, Québec, H2S 3H1 Canada

Abstract

The missing label for basis vectors of [Formula: see text] representations corresponding to the reduction [Formula: see text] can be provided by the eigenvalues of [Formula: see text] scalars in the enveloping algebra of [Formula: see text]. There are only two such independent elements of degrees three and four. It is shown how the one of degree four can be diagonalized using the analytical Bethe ansatz.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X22500385

Reference36 articles.

1. Analytical Bethe ansatz for closed and opengl(Script N)-spin chains in any representation

2. ANALYTICAL BETHE ANSATZ FOR OPEN SPIN CHAINS WITH SOLITON NONPRESERVING BOUNDARY CONDITIONS

3. SPECTRUM OF THE TRANSFER MATRIX FOR THE Uq(Bn)-INVARIANT $A_{2n}^{(2)}$ OPEN SPIN CHAIN

4. Group theory of harmonic oscillators (II). The integrals of Motion for the quadrupole-quadrupole interaction

5. The Heun–Askey–Wilson Algebra and the Heun Operator of Askey–Wilson Type

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