A Note on Superfields and Noncommutative Geometry

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 $\Theta$ 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.

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

References in corpus (7)

• String Theory and Noncommutative Geometry
• Noncommutative Perturbative Dynamics
• Perturbative analysis on infrared and ultraviolet aspects of noncommutative QED on R^4
• Renormalization of Quantum Field Theories on Noncommutative R^d, I. Scalars
• Evidence for Winding States in Noncommutative Quantum Field Theory
• A Note on UV/IR for Noncommutative Complex Scalar Field
• On the Equivalence between Noncommutative and Ordinary Gauge Theories

Cited by in corpus (66)

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