Non-Abelian Fractional Supersymmetry in Two Dimensions

Details Non-Abelian Fractional Supersymmetry in Two Dimensions Non-Abelian Fractional Supersymmetry in Two Dimensions

1999-05-26

arxiv.org/abs/math/9905164v3

Mod.Phys.Lett. A15 (2000) 1801-1812

Mathematics

Quantum Algebra

12 pages

Scientific paper

10.1142/S0217732300002097

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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