Twisting and kappa-Poincare

Abstract

We demonstrate that the coproduct of D=2 and D=4 quantum kappa-Poincare algebra in classical algebra basis can not be obtained by the cochain twist depending only on Poincare algebra generators. We also argue that nonexistence of such a twist does not imply the nonexistence of universal R-matrix.

p.13, v3: extended version, with enlarged final Sect.4 and added Appendix, to appear in Journ. Phys.A

References in corpus (9)

• Twisted Statistics in kappa-Minkowski Spacetime
• Fock space, quantum fields and kappa-Poincaré symmetries
• kappa-Minkowski spacetime as the result of Jordanian twist deformation
• kappa-deformed Spacetime From Twist
• Covariant Realization of Quantum Spaces as Star Products by Drinfeld Twists
• Covariant particle exchange for kappa-deformed theories in 1+1 dimensions
• Quantum (anti)de Sitter algebras and generalizations of the kappa-Minkowski space
• Twists of quantum groups and noncommutative field theory
• Reconstruction of universal Drinfeld twists from representations

Cited by in corpus (18)

• Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory
• Conformal Twists, Yang-Baxter $\sigma$-models & Holographic Noncommutativity
• Composite system in rotationally invariant noncommutative phase space
• Gauge theories on quantum spaces
• $\kappa$-Deformed Phase Space, Hopf Algebroid and Twisting
• $\kappa$-Deformations and Extended $\kappa$-Minkowski Spacetimes
• Effect of noncommutativity on the spectrum of free particle and harmonic oscillator in rotationally invariant noncommutative phase space
• Realizations of $\kappa$-Minkowski space, Drinfeld twists and related symmetry algebras
• $\kappa$-Poincaré-comodules, Braided Tensor Products and Noncommutative Quantum Field Theory
• Gauge Theory on Twisted $\kappa$-Minkowski: Old Problems and Possible Solutions
• Noncommutative phase space with rotational symmetry and hydrogen atom
• Rotationally invariant noncommutative phase space of canonical type with recovered weak equivalence principle
• Twisted bialgebroids versus bialgebroids from a Drinfeld twist
• System of interacting harmonic oscillators in rotationally invariant noncommutative phase space
• Time reversal and rotational symmetries in noncommutative phase space
• $\kappa$-General-Relativity I: a Non-Commutative GR Theory with the $\kappa$-Minkowski Spacetime as its Flat Limit
• Minimal momentum estimation in noncommutative phase space of canonical type with preserved rotational and time reversal symmetries
• Harmonic oscillator chain in noncommutative phase space with rotational symmetry