English

Intrinsic anyonic spin through deformed geometry

High Energy Physics - Theory 2007-05-23 v1

Abstract

The properties of the deformed bosonic oscillator, and the quantum groups Uq(SL(2)){\cal U}_q(SL(2)) and GLq(2)GL_q(2) in the limit as their deformation parameter qq 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)GL_q(2). When qq is a root of unity this equation is a root of the undeformed Klein-Gordon equation.

Keywords

Cite

@article{arxiv.hep-th/9703137,
  title  = {Intrinsic anyonic spin through deformed geometry},
  author = {R. S. Dunne},
  journal= {arXiv preprint arXiv:hep-th/9703137},
  year   = {2007}
}

Comments

26 pages, LaTeX

R2 v1 2026-07-22T16:04:08.697Z