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High Energy Physics - Theory, hep-th
Abstract:
We construct a generalisation of the three-dimensional Poincar\'e algebra
that also includes a colour symmetry factor. This algebra can be used to define
coloured Poincar\'e gravity in three space-time dimensions as well as to study
generalisations of massive and massless free particle models. We present
various such generalised particle models that differ in which orbits of the
coloured Poincar\'e symmetry are described. Our approach can be seen as a
stepping stone towards the description of particles interacting with a
non-abelian background field or as a starting point for a worldline formulation
of an associated quantum field theory.
