Physics NotePublished
q-Deformed Classical Lie Algebras and their Anyonic Realization
M. Frau; Marco Aurélio do Rego Monteiro; S. Sciuto
1993
Publication details
- Authors
- M. Frau; Marco Aurélio do Rego Monteiro; S. Sciuto
- Type
- Physics Note
- Status
- Published
- Publication date
- 1993
- Description
- All classical Lie algebras can be realized à la Schwinger in terms of fermionic oscillators. We show that the same can be done for their q-deformed counterparts by simply replacing the fermionic oscillators with anyonic ones defined on a two dimensional lattice. The deformation parameter q is a phase related to the anyonic statistical parameter. A crucial rôle in this construction is played by a sort of bosonization formula which gives the generators of the quantum algebras in terms of the underformed ones. The entire procedure works even on one dimensional chains; in such a case q can also be real.
- Year
- 1993
- Number
- CBPF-NF-026/93
- Linked to a thesis
- No
- Linked to a grant
- No