Anyonic Construction of the $SL_{Q,s}(2)$ Algebra

Details Anyonic Construction of the $SL_{Q,s}(2)$ Algebra Anyonic Construction of the $SL_{Q,s}(2)$ Algebra

1993-11-09

arxiv.org/abs/hep-th/9311053v1

Mod.Phys.Lett.A9:945-954,1994

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, latex, CBPF-NF-062/93 (save the file eqnus.sty, included AFTER the {\end{document}}, on the directory you are runnin

Scientific paper

10.1142/S0217732394000770

Considering anyonic oscillators in a two-dimensional lattice, we realize the
quantum semi-group $sl_{(q,s)}(2)$ by means of a generalized Schwinger
construction. We find that the parameter $q$ of the algebra is connected to the
statistical parameter, whereas the $s$ parameter is related to a $s$-deformed
oscillator introduced at each point of the lattice.

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