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ALTERING THE SYMMETRY OF WAVE FUNCTIONS IN QUANTUM ALGEBRAS AND SUPERSYMMETRY

1992/03/10 by Cosmas Zachos, C. K. Zachos · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Invariant (physics) #Limit (mathematics) #Limiting #Linear subspace #Mathematical physics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum #Quantum mechanics #Supergravity #Supersymmetry #Supersymmetry algebra #Symmetry (geometry) #Theoretical physics #hep-th

paper · pdf · doi:10.1142/s0217732392001270

published as Mod.Phys.Lett.A7:1595-1600,1992 · 6 pages

arxiv created 1992/03/10 · openalex publication_date 1992/06/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The statistics-altering operators M 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 supersymmetry algebra, and ask whether there is a supersymmetry structure underlying SU q (2) at that limit. We remark on the relevance of such alternating-symmetry multiplets to the construction of invariant Hamiltonians.

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