  The following is a master thesis centered around the concept of localisation
and the Third Way Theory. This thesis discusses various aspects of
supersymmetric localisation in one and three dimensions, and contains original
results with regards to the Third Way Theory. It starts off with the Witten
index for a one-dimensional supersymmetric system and derives various aspects
through localisation. After this, the thesis moves on to the Third Way Theory.
First, it offers a review of the Third Way Theory, a deformation of
topologically massive Yang-Mills theory in three dimensions. Then it moves on
to original results. These include a supersymmetrisation of the Third Way
Theory and consequently a localisation of the Third Way Theory, which is to
say, a method of deriving non-perturbative results.
