Twisted conformal algebra related to κ-Minkowski space

Meljanac, Stjepan; Pachoł, Anna; Pikutić, Danijel (2015) Twisted conformal algebra related to κ-Minkowski space. Physical review. D, Particles and fields, 92 (10). pp. 105015-1. ISSN 0556-2821

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Official URL: http://journals.aps.org/prd/abstract/10.1103/PhysR...

Abstract

Twisted deformations of the conformal symmetry in the Hopf algebraic framework are constructed. The first one is obtained by Jordanian twist built up from dilatation and momenta generators. The second is the light-like κ-deformation of the Poincaré algebra extended to the conformal algebra, obtained by twist corresponding to the extended Jordanian r-matrix. The κ-Minkowski spacetime is covariant quantum space under both of these deformations. The extension of the conformal algebra by the noncommutative coordinates is presented in two cases, respectively. The differential realizations for κ-Minkowski coordinates, as well as their left-right dual counterparts, are also included.

Item Type:

Article

Additional Information:

A. P. acknowledges the funding from the European Union’s Seventh Framework program for research and innovation under the MarieSkłodowska-Curie Grant Agreement No. 609402–2020 researchers: Train to Move (T2M). Part of this work was supported by Narodowe Centrum Nauki (Project No. 2014/13/B/ST2/04043). The work by S. M. and D. P. has been fully supported by Croatian Science Foundation under Project No. IP-2014-09-9582.

Uncontrolled Keywords:

twist deformation; conformal algebra; conformal deformation; conformal symmetry; Hopf algebra; Poincare algebra; dilation

Subjects:

NATURAL SCIENCES > Physics > Physics of Elementary Particles and Fields

Divisions:

Theoretical Physics Division

Projects: