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A Note on Superfields and Noncommutative Geometry

Seiji Terashima
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Abstract

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 $Θ$ 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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Seiji Terashima. 2000-02-23. A Note on Superfields and Noncommutative Geometry. https://doi.org/10.1016/s0370-2693(00)00486-x

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