Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-08-11
Phys.Lett. B633 (2006) 116-124
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX 16 pages. The version which appear in PLB
Scientific paper
10.1016/j.physletb.2005.11.052
We consider two new classes of twisted D=4 quantum Poincar\'{e} symmetries described as the dual pairs of noncocommutative Hopf algebras. Firstly we investigate a two-parameter class of twisted Poincar\'{e} algebras which provide the examples of Lie-algebraic noncommutativity of the translations. The corresponding associative star-products and new deformed Lie-algebraic Minkowski spaces are introduced. We discuss further the twist deformations of Poincar\'{e} symmetries generated by the twist with its carrier in Lorentz algebra. We describe corresponding deformed Poincar\'{e} group which provides the quadratic deformations of translation sector and define the quadratically deformed Minkowski space-time algebra.
Lukierski Jerzy
Woronowicz Mariusz
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