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

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 $\nu \in [0,1]$, 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.

12 pages

References in corpus (5)

• Deformed Heisenberg algebra, fractional spin fields and supersymmetry without fermions
• Anyons and Quantum Groups
• Group Theoretical Foundations of Fractional Supersymmetry
• $C_{\lambda }$-extended harmonic oscillator and (para)supersymmetric quantum mechanics
• Statistical Mechanics of $qp$-Bosons in $D$ Dimensions

Cited by in corpus (1)

• Deformed $C_{\lambda }$-Extended Heisenberg Algebra in Non-commutative Phase-Space