N=1/2 Deformations of Chiral Superspaces from New Twisted Poincare and Euclidean Superalgebras

Details N=1/2 Deformations of Chiral Superspaces from New Twisted Poincare and Euclidean Superalgebras N=1/2 Deformations of Chiral Superspaces from New Twisted Poincare and Euclidean Superalgebras

2011-12-08

arxiv.org/abs/1112.1936v1

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTeX

Scientific paper

We consider new quantum superspaces, obtained from the superextension of twist deformations of Minkowski spacetime providing Lie-algebraic noncommutativity of space-time coordinates. The deformed superalgebraic relations describing new quantum superspaces are covariant under the twist-deformed Poincare supersymmetries. New four classes of supertwist deformations of N=1 Poincare superalgebra are investigated and further their Euclidean counterpart presented. Because the proposed supertwists are in odd sector not unitary they are better adjusted to the description of deformed D=4 Euclidean supersymmetries with independent left-chiral and right-chiral supercharges. Our supertwist deformations in the framework of Hopf-algebraic quantum deformations provide an alternative to the N=1/2 SUSY Seiberg's star product deformation scheme.

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