Multi-Species Anyons Supersymmetry on Two-Dimensional Space

Abstract

The algebra of multi-species anyons characterized by different statistical parameters ${\nu }_{ij}=e_i{e}_j{\Phi }_i{\Phi }_j/(2\pi )$, $i,j=1,...,n$ is redefined by basing on fermions and $k_i$-fermions ($k_i\in \mathbf{N}/\{0,1\}$ with $i\in \mathbf{N}$) and its superalgebra is constructed. The so-called fractional supersymmetry of multi-species anyons is realized on 2d lattice.

13 pages

References in corpus (1)

• Inequivalent classes of interference experiments with non-abelian anyons