2011/12/31 by A. Borowiec, J. Lukierski, M. Mozrzymas +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Class (philosophy) #Euclidean domain #Euclidean geometry #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories #Quantum #Star product #Superalgebra #Supersymmetry #Twist #hep-th #math-ph #math.MP #math.QA
paper · pdf · doi:10.1007/jhep06(2012)154
published as JHEP 1206 (2012) 154 · 17 pages, LaTeX, new (re-worked) revised and extended version
arxiv created 2012/04/27 · openalex publication_date 2012/06/01 · arxiv updated 2012/09/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A bstract 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 = (1)/(2) SUSY Seiberg’s star product deformation scheme.