Deformation quantization of the (2D) Poincare Group and relation with kappa-Minkowski

Marcillaud de Goursac, Axel
(2013) 13th Hellenic School and Workshops on Elementary Particle Physics and Gravity, Workshop “Noncommutative Field Theory and Gravity” — Location: Corfu, Greece (8.September.2013)

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  • Marcillaud de Goursac, AxelUCLouvain
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Abstract
We present the non-formal deformation quantization of the 2D Poincare Group and its associated star-exponential. We then deform its action on the space R^2. We obtain a non-formal star-product on R^2 satisfying the kappa-Minkowski relations and the star-exponential induce the ordered planar waves on kappa-Minkowski.
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Marcillaud de Goursac, A. (2013). Deformation quantization of the (2D) Poincare Group and relation with kappa-Minkowski. 13th Hellenic School and Workshops on Elementary Particle Physics and Gravity, Workshop “Noncommutative Field Theory and Gravity”, Corfu, Greece. https://hdl.handle.net/2078.5/63817