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Intrinsic anyonic spin through deformed geometry

R. S. Dunne
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Abstract

The properties of the deformed bosonic oscillator, and the quantum groups ${\cal U}_q(SL(2))$ and $GL_q(2)$ 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 $GL_q(2)$. When $q$ is a root of unity this equation is a root of the undeformed Klein-Gordon equation.

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R. S. Dunne. 1997-03-19. Intrinsic anyonic spin through deformed geometry. https://arxiv.org/abs/hep-th/9703137

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