Quadratic deformation of Minkowski space

Abstract

We present a deformation of the Minkowski space as embedded into the conformal space (in the formalism of twistors) based in the quantum versions of the corresponding kinematic groups. We compute explicitly the star product, whose Poisson bracket is quadratic. We show that the star product although defined on the polynomials can be extended differentiably. Finally we compute the Eucliden and Minkowskian real forms of the deformation.

Presented at XVII European Workshop on String Theory 2011. Padova (Italy) September 05-09; Fortschr. Phys. 1-7 (2012)

References in corpus (2)

• On chiral quantum superspaces
• The quantum chiral Minkowski and conformal superspaces

Cited by in corpus (6)

• On chiral quantum superspaces
• Klein and Conformal Superspaces, Split Algebras and Spinor Orbits
• Quantum Klein Space and Superspace
• The symplectic origin of conformal and Minkowski superspaces
• The Segre embedding of the quantum conformal superspace
• The $q$-linked complex Minkowski space, its real forms and deformed isometry groups