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

We consider the exchange of identical scalar particles in theories with κ-deformed Poincaré symmetry. We argue that, at least in 1+1 dimensions, the symmetric group SN can be realized on the space of N-particle states in a κ-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.