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Zamolodchikov-Faddeev algebra in 2-component anyons

arXiv:cond-mat/9509084 · doi:10.1088/0305-4470/29/18/035

Abstract

We investigate Wilczeck's mutual fractional statistical model at the field- theoretical level. The effective Hamiltonian for the particles is derived by the canonical procedure, whereas the commutators of the anyonic excitations are proved to obey the Zamolodchikov-Faddeev algebra. Cases leading to well known statistics as well as Laughlin's wave function are discussed.

Preprint of Nankai Institute of Mathematics, China