Studies in field theory : supersymmetry and torsion potentials

Abstract: This report contains introductions to and summaries of the papers which constitute my thesis. These papers treat four different topics: The first of these is the superspace treatment of the linear multiplet in six space-time dimensions, in particular the solution of the constraint for this multiplet. The second topic is the calculation of the 3-point vertices in quantum superspace supergravity in a background field formulation. The third is the formulation of supersymmetric Yang-Mills theory in terms of fields defined on a reduced ( chiral) superspace. The last topic is the use of torsion derived from a potential.