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Non-Abelian Fractional Supersymmetry in Two Dimensions

H. Ahmedov·O. F. Dayi
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Abstract

Non-Abelian fractional supersymmetry algebra in two dimensions is introduced utilizing $U_q(sl(2,\Rcc))$ at roots of unity. Its representations and the matrix elements are obtained. The dual of it is constructed and the corepresentations are studied. Moreover, a differential realization of the non-Abelian fractional supersymmetry generators is given in the generalized superspace defined by two commuting and two generalized Grassmann variables. An invariant action under the fractional supersymmetry transformations is given.

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BibTeXRIS

H. Ahmedov, O. F. Dayi. 2000-09-13. Non-Abelian Fractional Supersymmetry in Two Dimensions. https://doi.org/10.1142/s0217732300002097

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