A Note on Superfields and Noncommutative Geometry

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 pages, LaTeX, no figures, Note added is changed, one reference added

Scientific paper

10.1016/S0370-2693(00)00486-X

We consider the supersymmetric field theories on the noncommutative $R^4$ using the superspace formalism on the commutative space. The terms depending on the parameter of the noncommutativity $\Theta$ are regarded as the interactions. In this way we construct the N=1 supersymmetric action for the U(N) vector multiplets and chiral multiplets of the fundamental, anti-fundamental and adjoint representations of the gauge group. The action for vector multiplets of the products gauge group and its bi-fundamental matters is also obtained. We discuss the problem of the derivative terms of the auxiliary fields.

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