Anyonic Construction of the SLQ,s(2) Algebra
J. L. Matheus-Valle, M. R-Monteiro
Abstract
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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