Altering the Symmetry of Wavefunctions in Quantum Algebras and Supersymmetry

Details Altering the Symmetry of Wavefunctions in Quantum Algebras and Supersymmetry Altering the Symmetry of Wavefunctions in Quantum Algebras and Supersymmetry

1992-03-10

arxiv.org/abs/hep-th/9203027v1

Mod.Phys.Lett.A7:1595-1600,1992

Physics

High Energy Physics

High Energy Physics - Theory

6 pages

Scientific paper

10.1142/S0217732392001270

The statistics-altering operators present in the limit $q=-1$ of multiparticle SU_q(2)-invariant subspaces parallel the action of such operators which naturally occur in supersymmetric theories. We illustrate this heuristically by comparison to a toy $N=2$ superymmetry algebra, and ask whether there is a supersymmetry structure underlying SU(2)_q at that limit. We remark on the relevance of such alternating-symmetry multiplets to the construction of invariant hamiltonians.

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