Abstract
We present a large class of supersymmetric classical r-matrices, describing the supertwist deformations of Poincaré and Euclidean superalgebras. We consider in detail new family of four supertwists of N = 1 Poincaré superalgebra and provide as well their Euclidean counterpart. The proposed supertwists are better adjusted to the description of deformed D = 4 Euclidean supersymmetries with independent left-chiral and right-chiral supercharges. They lead to new quantum superspaces, obtained by the superextension of twist deformations of spacetime providing Lie-algebraic noncommutativity of space-time coordinates. In the Hopf-algebraic Euclidean SUSY framework the considered supertwist deformations provide an alternative to the \( N = \frac{1}{2} \) SUSY Seiberg’s star product deformation scheme.
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ArXiv ePrint: 1112.1936
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Borowiec, A., Lukierski, J., Mozrzymas, M. et al. \( N = \frac{1}{2} \) deformations of chiral superspaces from new quantum Poincaré and Euclidean superalgebras. J. High Energ. Phys. 2012, 154 (2012). https://doi.org/10.1007/JHEP06(2012)154
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DOI: https://doi.org/10.1007/JHEP06(2012)154