1997/03/19 by R. S. Dunne, Dunne, R. S.
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9703137
26 pages, LaTeX
arxiv created 1997/03/19 · openalex publication_date 1997/03/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The properties of the deformed bosonic oscillator, and the quantum groups \cal Uq(SL(2)) and GLq(2) in the limit as their deformation parameter q goes to a root of unity are investigated and interpreted physically. These properties are seen to be related to fractional supersymmetry and intrinsic anyonic spin. A simple deformation of the Klein-Gordon equation is introduced, based on GLq(2). When q is a root of unity this equation is a root of the undeformed Klein-Gordon equation.