The $SU(3)\supset SO(3)$ missing label problem and the analytical Bethe ansatz
Mathematical Physics
2022-05-11 v1 math.MP
Representation Theory
Abstract
The missing label for basis vectors of representations corresponding to the reduction can be provided by the eigenvalues of scalars in the enveloping algebra of . There are only two such independent elements of degree three and four. It is shown how the one of degree four can be diagonalized using the analytical Bethe ansatz.
Keywords
Cite
@article{arxiv.2112.09736,
title = {The $SU(3)\supset SO(3)$ missing label problem and the analytical Bethe ansatz},
author = {Nicolas Crampe and Dounia Shaaban Kabakibo and Luc Vinet},
journal= {arXiv preprint arXiv:2112.09736},
year = {2022}
}