Anyonic Realization of SUq(N) Quantum Algebra
Raffaele Caracciolo, Marco A. R-Monteiro
Abstract
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 SUq(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 ν by q=exp( iπν).
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