Twisting kappa-deformed phase space

Abstract

We briefly discuss the twisting procedure applied to the $\kappa$-deformed space-time. It appears that one can consider only two kinds of such twistings: in space and time directions. For both types of twisitngs we introduce related phase spaces and consider briefly their properties. We discuss in detail the changes of duality relations under the action of twist. The Jordanian twisted space-time and phase space in D=2 are also commented.

LaTeX, 18 pages, revised version, accepted for publication in Journal of Physics A

References in corpus (8)

• The quantum structure of spacetime at the Planck scale and quantum fields
• Lorentz invariance with an invariant energy scale
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• Doubly Special Relativity
• New Tests of Lorentz Invariance Following from Observations of the Highest Energy Cosmic Gamma Rays
• Doubly Special Relativity versus $\kappa$-deformation of relativistic kinematics
• κ-deformations of D=4 Weyl and conformal symmetries
• Nonlinear and Quantum Origin of Doubly Infinite Family of Modified Addition Laws for Fourmomenta

Cited by in corpus (1)

• Canonical and Lie-algebraic twist deformations of Galilei algebra