Covariant particle statistics and intertwiners of the kappa-deformed Poincare algebra
arXiv:0711.2206 · doi:10.1016/j.nuclphysb.2007.12.021
Abstract
To speak about identical particles - bosons or fermions - in quantum field theories with kappa-deformed Poincare symmetry, one must have a kappa-covariant notion of particle exchange. This means constructing intertwiners 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.
16 pages, latex; v2, references added