Seiberg-Witten Map for Superfields on Canonically Deformed N=1, d=4 Superspace

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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24 pages, LaTeX; typos corrected, two comments added

Scientific paper

10.1088/1126-6708/2004/01/063

In this paper we construct Seiberg-Witten maps for superfields on canonically deformed N=1, d=4 Minkowski and Euclidean superspace. On Minkowski superspace we show that the Seiberg-Witten map is not compatible with locality, (anti)chirality and supersymmetry at the same time. On Euclidean superspace we show that there exists a local, chiral and supersymmetric Seiberg-Witten map for chiral superfields if we take the noncommutativity parameter to be selfdual, and a local, antichiral and supersymmetric Seiberg-Witten map for antichiral superfields if we take the noncommutativity parameter to be antiselfdual, respectively.

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