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NON-ABELIAN FRACTIONAL SUPERSYMMETRY IN TWO DIMENSIONS

NON-ABELIAN FRACTIONAL SUPERSYMMETRY IN TWO DIMENSIONS

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 …