Braided Statistics from Abelian Twist in $\kappa$-Minkowski Spacetime

Abstract

$\kappa$-deformed commutation relation between quantum operators is constructed via abelian twist deformation in $\kappa$-Minkowski spacetime. The commutation relation is written in terms of universal $R$-matrix satisfying braided statistics. The equal-time commutator function turns out to vanish in this framework.

6pages, no figures

References in corpus (15)

• Kappa-Minkowski space-time and the star product realizations
• Twisted Statistics in kappa-Minkowski Spacetime
• kappa-Minkowski spacetime as the result of Jordanian twist deformation
• Towards Quantum Noncommutative $\kappa$-deformed Field Theory
• Covariant particle statistics and intertwiners of the kappa-deformed Poincare algebra
• Generalized kappa-deformed spaces, star-products, and their realizations
• kappa-deformed Spacetime From Twist
• Rainbow statistics
• Noncommutative Field Theory from twisted Fock space
• On kappa-deformation and triangular quasibialgebra structure
• Differential structure on the $\kappa$-Minkowski spacetime from twist
• Differential Structure on kappa-Minkowski Spacetime Realized as Module of Twisted Weyl Algebra
• Scalar Field theory in $\kappa$-Minkowski spacetime from twist
• Blackbody radiation in κ-Minkowski spacetime
• Casimir energy of a spherical shell in $\kappa -$Minkowski spacetime