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We construct a superpotential for the general N=1/2 supersymmetric gaugetheory 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

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

One-loop renormalization of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:math>supersymmetric gauge theory with a superpotential

One-loop renormalization ofN=12supersymmetric gauge theory with a superpotential