High Energy Physics - Theory
[Submitted on 10 Mar 1992
]
Title: Altering the Symmetry of Wavefunctions in Quantum Algebras and Supersymmetry
Title: 量子代数与超对称中波函数对称性的改变
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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