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

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

2000-08-15

arxiv.org/abs/hep-th/0008121v2

Mod. Phys. Lett. A18 (2003) 913-925

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

10.1142/S0217732303009344

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

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