  In this bachelor thesis, possible kinetic terms and couplings of standard
fields in MacDowell-Mansouri-Stelle-West gravity are studied with some aspects
of group theory in mind. Possible obstructions to these couplings are
considered and used to make statements about the validity of the theory when
coupled to matter. While interactions themselves turn out to be mostly
unaffected except for scalar fields, the theory fails at its goal of putting
gravity on equal footing with Yang-Mills theories. This happens with the
kinetic term for spin-1 gauge fields and spin-0 ones, as one needs auxiliary
fields to ensure manifest covariance with respect to the internal group $
SO(2,3) $.
