PT Journal AU Cervantes, D Fioresi, R Lledo, MA Nadal, FA TI Quadratic deformation of Minkowski space SO Fortschritte der Physik-Progress of Physics JI Fortschritte Phys.-Prog. Phys. PY 2012 BP 970 EP 976 VL 60 IS 9-10 DI 10.1002/prop.201200023 LA English DE Deformations; star product; Minkowski spacetime AB 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. ER