Covariant particle statistics and intertwiners of the κ-deformed Poincare algebra

To speak about identical particles-bosons or fermions-in quantum field theories with K-deformed Poincare symmetry, one must have a kappa-covariant notion of particle exchange. This means constructing inter-twiners of the relevant representations of kappa-Poincare. We show, in the simple case of spinless particles, that intertwiners exist, and, supported by a perturbative calculation to third order in 1/kappa, make a conjecture about the existence and uniqueness of a certain preferred intertwiner defining particle exchange in kappa-deformed theories. (C) 2007 Elsevier B.V. All rights reserved.