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arxiv: hep-th/0301033 · v2 · submitted 2003-01-07 · ✦ hep-th · math-ph· math.MP· math.QA· math.RT

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Basic Twist Quantization of osp(1|2) and kappa-- Deformation of D=1 Superconformal Mechanics

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classification ✦ hep-th math-phmath.MPmath.QAmath.RT
keywords deformationquantumsuperconformalalgebradescribingfunctionmechanicsreal
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The twisting function describing a nonstandard (super-Jordanian) quantum deformation of $osp(1|2)$ is given in explicite closed form. The quantum coproducts and universal R-matrix are presented. The non-uniqueness of the twisting function as well as two real forms of the deformed $osp(1|2)$ superalgebras are considered. One real quantum $osp(1|2)$ superalgebra is interpreted as describing the $\kappa$-deformation of D=1, N=1 superconformal algebra, which can be applied as a symmetry algebra of N=1 superconformal mechanics.

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