Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2012-03-22
Physics
High Energy Physics
High Energy Physics - Theory
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.
Gonera Cezary
Wodzislawski M.
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