Twisted conformal algebra related to $\kappa$-Minkowski space

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 $\kappa$-deformation of the Poincare algebra extended to the conformal algebra, obtained by a twist corresponding to the extended Jordanian r-matrix. The $\kappa$-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 $\kappa$-Minkowski coordinates, as well as their left-right dual counterparts, are also included.

8 pages; version accepted for publication in Phys. Rev. D

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Cited by in corpus (8)

• Poisson-Lie T-duals of the bi-Yang-Baxter models
• Remarks on simple interpolation between Jordanian twists
• Twisted bialgebroids versus bialgebroids from a Drinfeld twist
• Interpolations between Jordanian Twists Induced by Coboundary Twists
• $\kappa$-deformed BMS symmetry
• One Parameter Family of Jordanian Twists
• On Light-like Deformations of the Poincaré Algebra
• Interpolations between Jordanian twists, the Poincaré-Weyl algebra and dispersion relations