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arxiv: hep-th/0110231 · v1 · submitted 2001-10-25 · ✦ hep-th

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Noncommutative spin-1/2 representations

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classification ✦ hep-th
keywords fermionsnoncommutativespin-1algebraapplyconformalcovariantdifferential
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In this letter we apply the methods of our previous paper hep-th/0108045 to noncommutative fermions. We show that the fermions form a spin-1/2 representation of the Lorentz algebra. The covariant splitting of the conformal transformations into a field-dependent part and a \theta-part implies the Seiberg-Witten differential equations for the fermions.

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