Twisted Superfields

A model is presented that could lead to an interesting extension of the Standard Model. Like a supersymmetric gauge theory, the model is holomorphic and invariant to local superspace gauge transformations. However, the model is not invariant to superspace translations, so it is not supersymmetric. It is proposed that this combination allows the model to have many of the attractive features of supersymmetric theories, while at the same time predicting fewer particles that have not yet been seen experimentally. For example, the "superpartners" of the gauge bosons in the model are quarks. The model is able to generate the symmetries and particles of the Standard Model, but with key differences that have observable consequences. These consequences provide possible explanations for many of the 3-4 sigma deviations from Standard Model predictions that have been seen in recent experiments.Comment: 28 page