Zamolodchikov-Faddeev algebra in 2-component anyons
Yue-lin Shen, Mo-lin Ge
TL;DR
This paper explores the algebraic structure of 2-component anyons, deriving their effective Hamiltonian and demonstrating that their excitations obey the Zamolodchikov-Faddeev algebra, with connections to known statistics and Laughlin's wave function.
Contribution
It provides a field-theoretical derivation of the effective Hamiltonian and proves the Zamolodchikov-Faddeev algebra for 2-component anyons, linking fractional statistics to algebraic structures.
Findings
Effective Hamiltonian derived for 2-component anyons
Commutators obey Zamolodchikov-Faddeev algebra
Connections to known statistics and Laughlin's wave function
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.
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