Anyonic realization of the quantum affine Lie algebras期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Anyonic realization of the quantum affine Lie algebras

Authors:	L. Frappat P. Sorba A. Sciarrino S. Sciuto

Affiliation:	(1) Laboratoire de Physique Théorique ENSLAPP, Chemin de Bellevue BP 110, F-74941 Annecy-le-Vieux Cedex, France;(2) Dipartimento di Scienze Fisiche, Università di Napoli Federico II and I.N.F.N., Sezione di Napoli, Italy;(3) Dipartimento di Fisica, Teorica, Università di Torino and I.N.F.N., Sezione di Torino, Italy

Abstract:	We give a realization of the quantum affine Lie algebras $U_q (widehat A _{N-1})$ and in terms of anyons defined on a one-dimensional chain (or on a two-dimensional lattice), the deformation parameter q being related to the statistical parameter of the anyons by q = eⁱ. In the limit of the deformation parameter going to one we recover the Feingold-Frenkel [1] fermionic construction of undeformed affine Lie algebras.

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