Anyonic Realization of $SU_q(N)$ Quantum Algebra

Details Anyonic Realization of $SU_q(N)$ Quantum Algebra Anyonic Realization of $SU_q(N)$ Quantum Algebra

1993-02-23

arxiv.org/abs/hep-th/9302111v1

Phys.Lett. B308 (1993) 58-64

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, DFTT 5/93

Scientific paper

10.1016/0370-2693(93)90601-D

By considering a set of $N$ anyonic oscillators ( non-local, intrinsic two-dimensional objects interpolating between fermionic and bosonic oscillators) on a two-dimensional lattice, we realize the $SU_q(N)$ quantum algebra by means of a generalized Schwinger construction. We find that the deformation parameter $q$ of the algebra is related to the anyonic statistical parameter $\nu$ by $q=exp({\rm i}\pi\nu)$.

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