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

To speak about identical particles-bosons or fermions-in quantum field theories with κ-deformed Poincaré symmetry, one must have a κ-covariant notion of particle exchange. This means constructing intertwiners of the relevant representations of κ-Poincaré. We show, in the simple case of spinless particles, that intertwiners exist, and, supported by a perturbative calculation to third order in 1κ, make a conjecture about the existence and uniqueness of a certain preferred intertwiner defining particle exchange in κ-deformed theories.