One-loop renormalisation of N=1/2 supersymmetric gauge theory with a superpotential

Abstract

We construct a superpotential for the general N=1/2 supersymmetric gauge theory coupled to chiral matter in the fundamental and adjoint representations, and investigate the one-loop renormalisability of the theories.Comment: 67 pages, including 17 figures. Plain TeX. Uses Harvmac and epsf. Combined and condensed version of hep-th/0607194 and hep-th/0607195 with some added material including in particular a generalisation of the Lunin-Rey classification of potentially divergent operator