Anyonic Realization of <math>SUq(N)</math> Quantum Algebra

Physics NotePublished

Anyonic Realization of $<math>SU_{q}(N)</math>$ Quantum Algebra

Raffaele Caracciolo; Marco Aurélio do Rego Monteiro

1993

Authors: Raffaele Caracciolo; Marco Aurélio do Rego Monteiro
Type: Physics Note
Status: Published
Publication date: 1993
Description: By considering a set of <math>N\,\!</math> anyonic ascillators (non-local, intrinsically two-dimensional objects interpolating between fermionic and bosonic oscillators) on a two-dimensional lattice, we realize the <math>SU_{q}(N)\,\!</math> quantum algebra by means of a generalized Schwinger construction. We find that the deformation parameter <math>q\,\!</math> of the algebra is related to the anyonic statistical parameter <math>\nu\,\!</math> by <math>q = exp(i \pi \nu)\,\!</math>.
Year: 1993
Number: CBPF-NF-025/93
Linked to a thesis: No
Linked to a grant: No