N=1/2 Global SUSY: R-Matrix Approach

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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30 pages, a number of typos corrected; two references added

Scientific paper

R-matrix method is used to construct supersymmetric extensions of theta - Euclidean group preserving N = 1/2 supersymmetry and its three- parameter generalization. These quantum symmetry supergroups can be considered as global counterparts of appropriately twisted Euclidean superalgebras. The corresponding generalized global symmetry transformations act on deformed superspaces as the usual ones do on undeformed spaces. However, they depend on non(anti)commuting parameters satisfying (anti)commutation relations defined by relevant R matrix.

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