Author/Authors :
L. Frappat، نويسنده , , A. Sciarrino، نويسنده , , S. Sciuto، نويسنده , , P. Sorba، نويسنده ,
Abstract :
We give a realization of quantum affine Lie algebra Uq(AN−1) in terms of anyons defined on a two-dimensional lattice, the deformation parameter q being related to the statistical parameter ν of the anyons by q = eiπν. In the limit of the deformation parameter going to one we recover the Feingold-Frenkel [1] fermionic construction of undeformed affine Lie algebra.
