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N=1/2 Supersymmetric gauge theory in noncommutative space

O. F. Dayi·L. T. Kelleyane
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Abstract

A formulation of (non-anticommutative) N=1/2 supersymmetric U(N) gauge theory in noncommutative space is studied. We show that at one loop UV/IR mixing occurs. A generalization of Seiberg-Witten map to noncommutative and non-anticommutative superspace is employed to obtain an action in terms of commuting fields at first order in the noncommutativity parameter tetha. This leads to abelian and non-abelian gauge theories whose supersymmetry transformations are local and non-local, respectively.

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O. F. Dayi, L. T. Kelleyane. 2007-04-06. N=1/2 Supersymmetric gauge theory in noncommutative space. https://doi.org/10.1209/0295-5075%2F78%2F21004

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