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arXiv · 1509.02115

Twisted conformal algebra related to $κ$-Minkowski space

Stjepan Meljanac·Anna Pachol·Danijel Pikutic
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Abstract

Twisted deformations of the conformal symmetry in the Hopf algebraic framework are constructed. The first one is obtained by a Jordanian twist built up from dilatation and momenta generators. The second is the light-like $κ$-deformation of the Poincare algebra extended to the conformal algebra, obtained by a 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. The differential realizations for $κ$-Minkowski coordinates, as well as their left-right dual counterparts, are also included.

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Stjepan Meljanac, Anna Pachol, Danijel Pikutic. 2015-11-17. Twisted conformal algebra related to $κ$-Minkowski space. https://doi.org/10.1103/physrevd.92.105015

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