Resolution of SU(3) Outer Multiplicity Problem and the $SU(3)\otimes SU(3)$ Invariant Group $SO(4,2)$
Mathematical Physics
2019-06-26 v1 math.MP
Abstract
We resolve the SU(3) outer multiplicity problem by defining all possible invariant operators in terms of SU(3) Schwinger bosons. We show that the elementary invariant operators relevant to the outer multiplicity problem form SO(4,2) algebra. Further, they enable us to construct a family of operators any one of which can be used to distinguish repeating representations present in the reduction of the direct product of two SU(3) irreducible representations.
Keywords
Cite
@article{arxiv.1906.10410,
title = {Resolution of SU(3) Outer Multiplicity Problem and the $SU(3)\otimes SU(3)$ Invariant Group $SO(4,2)$},
author = {Manu Mathur and Atul Rathor and T. P. Sreeraj},
journal= {arXiv preprint arXiv:1906.10410},
year = {2019}
}
Comments
6 pages