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

J. Douari·M. Daoud
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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 $ν\in[0,1]$, on two-dimensional lattice. The construction uses anyons defined from usual fermionic oscillators (Lerda-Sciuto construction). The anyonic realization of the superalgebra $sl(1/1)$ is also presented.

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J. Douari, M. Daoud. 2004-08-31. Extended Weyl-Heisenberg algebra and Rubakov-Spiridonov superalgebra: Anyonic realizations. https://doi.org/10.1142/s0217732303009344

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