Extended Weyl-Heisenberg algebra and Rubakov-Spiridonov superalgebra: Anyonic realizations
J. Douari, M. Daoud
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], 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) is also presented.
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