Covariant particle exchange for kappa-deformed theories in 1+1 dimensions

Abstract

We consider the exchange of identical scalar particles in theories with kappa-deformed Poincare symmetry. We argue that, at least in 1+1 dimensions, the symmetric group S_N can be realized on the space of N-particle states in a kappa-covariant fashion. For the case of two particles this realization is unique: we show that there is only one non-trivial intertwiner, which automatically squares to the identity.

24 pages, 13 figures

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• Kappa Snyder deformations of Minkowski spacetime, realizations and Hopf algebra
• Rainbow statistics
• On kappa-deformation and triangular quasibialgebra structure
• Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation
• Quantum particles in non-commutative space-time: an identity crisis
• The energy-momentum conservation law in two-particle system for twist-deformed Galilei Hopf algebras