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

J. L. Matheus-Valle; M. R-Monteiro

doi:10.1142/S0217732394000770

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

High Energy Physics - Theory 2011-07-19 v1

Authors: J. L. Matheus-Valle , M. R-Monteiro

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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.

Keywords

anyonic oscillators quantum semi-group Schwinger construction deformed oscillator statistical parameter

Cite

@article{arxiv.hep-th/9311053,
  title  = {Anyonic Construction of the $SL_{Q,s}(2)$ Algebra},
  author = {J. L. Matheus-Valle and M. R-Monteiro},
  journal= {arXiv preprint arXiv:hep-th/9311053},
  year   = {2011}
}

Comments

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

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

Abstract

Keywords

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