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Quadratic deformation of Minkowski space

By D. Cervantes, R. Fioresi, M. A. Lledo and F. A. Nadal

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

Topics: High Energy Physics - Theory
Year: 2012
DOI identifier: 10.1002/prop.201200023
OAI identifier: oai:arXiv.org:1207.1316

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