  In this Honours Research Project the aim is to build a toy model of an SO(10)
Grand Unified Theory with an extra spatial dimension. Utilising the Clash of
Symmetries mechanism proposed for brane-world models by Davidson, Toner, Volkas
and Wali and using the asymmetric kink solution for the Higgs Field in the 45
of SO(10) discovered by Shin and Volkas, the symmetry on the brane will be
broken to SU(4) x SU(2) x U(1), whereas the symmetry in the bulk is G_SM x
U(1). However, any fermions localised on the brane would experience slight
leakage into the bulk, and hence the symmetry is broken down to G_SM x U(1). We
then introduce different SO(10) representations for fermions into the theory
and determine which components become localised as chiral zero-modes, in the
hope that the Standard Model particles are confined. Various group theoretical
techniques are introduced as we study the 120, 16, 126 and 144 representations,
and detailed analysis of the 16's confinement characteristics is performed.
