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.
Fioresi, R., Latini, E., Marrani, A. (2019). The q -linked complex Minkowski space, its real forms and deformed isometry groups. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 16(1), 1950009-1950029 [10.1142/S0219887819500099].
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
