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arXiv · hep-th/9203027

Altering the Symmetry of Wavefunctions in Quantum Algebras and Supersymmetry

C. K. Zachos
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Abstract

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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C. K. Zachos. 1992-03-10. Altering the Symmetry of Wavefunctions in Quantum Algebras and Supersymmetry. https://doi.org/10.1142/s0217732392001270

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