We establish duality between real forms of the quantum deformation of the four-dimensional orthogonal group studied by Fioresi et al. [Quantum Klein space and superspace, preprint (2017), arXiv:1705.01755] and the classification work made by Borowiec et al. [Basic quantizations of D = 4 Euclidean, Lorentz, Kleinian and quaternionic (4) symmetries, J. High Energy Phys. 1711 (2017) 187]. Classically, these real forms are the isometry groups of 4 equipped with Euclidean, Kleinian or Lorentzian metric. A general deformation, named q-linked, of each of these spaces is then constructed, together with the coaction of the corresponding isometry group.

The q -linked complex Minkowski space, its real forms and deformed isometry groups

Fioresi, R.
Membro del Collaboration Group
;
Latini, E.
Membro del Collaboration Group
;
2019

Abstract

We establish duality between real forms of the quantum deformation of the four-dimensional orthogonal group studied by Fioresi et al. [Quantum Klein space and superspace, preprint (2017), arXiv:1705.01755] and the classification work made by Borowiec et al. [Basic quantizations of D = 4 Euclidean, Lorentz, Kleinian and quaternionic (4) symmetries, J. High Energy Phys. 1711 (2017) 187]. Classically, these real forms are the isometry groups of 4 equipped with Euclidean, Kleinian or Lorentzian metric. A general deformation, named q-linked, of each of these spaces is then constructed, together with the coaction of the corresponding isometry group.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/656615
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