The SU(3) ⊃ SO(3) missing label problem and the analytical Bethe Ansatz - Archive ouverte HAL Access content directly
Journal Articles International Journal of Modern Physics A Year : 2022

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

Nicolas Crampé
Dounia Shaaban Kabakibo
  • Function : Author
Luc Vinet
  • Function : Author

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.

Dates and versions

hal-03808147 , version 1 (10-10-2022)

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Nicolas Crampé, Dounia Shaaban Kabakibo, Luc Vinet. The SU(3) ⊃ SO(3) missing label problem and the analytical Bethe Ansatz. International Journal of Modern Physics A, 2022, 37 (08), ⟨10.1142/S0217751X22500385⟩. ⟨hal-03808147⟩
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