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.
Quadratic deformation of Minkowski space / R. Fioresi; M. A. Lledo; D. Cervantes; F. A. Nadal. - In: FORTSCHRITTE DER PHYSIK. - ISSN 0015-8208. - STAMPA. - 60:(2012), pp. 970-976. [10.1002/prop.201200023]
Quadratic deformation of Minkowski space
FIORESI, RITA;
2012
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.File in questo prodotto:
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