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Extended Weyl-Heisenberg algebra and Rubakov-Spiridonov superalgebra: Anyonic realizations

High Energy Physics - Theory 2009-10-31 v2

Abstract

We give the realizations of the extended Weyl-Heisenberg (WH) algebra and the Rubakov-Spiridonov (RS) superalgebra in terms of anyons, characterized by the statistical parameter ν[0,1]\nu\in[0,1], on two-dimensional lattice. The construction uses anyons defined from usual fermionic oscillators (Lerda-Sciuto construction). The anyonic realization of the superalgebra sl(1/1)sl(1/1) is also presented.

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Cite

@article{arxiv.hep-th/0008121,
  title  = {Extended Weyl-Heisenberg algebra and Rubakov-Spiridonov superalgebra: Anyonic realizations},
  author = {J. Douari and M. Daoud},
  journal= {arXiv preprint arXiv:hep-th/0008121},
  year   = {2009}
}

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12 pages