Fractional Supersymmetry through Generalized Anyonic algebra
J. Douari, Y. Hassouni
Abstract
The construction of anyonic operators and algebra is generalized by using quons operators. Therefore, the particular versionof fractional supersymmetry is constructed on the two-dimensional lattice by associating two generalized anyons of different kinds. The fractional supersymmetry Hamiltonian operator is obtained on the two-dimensional lattice and the quantum algebra Uq(sl2) is realized.
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