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Noncommutative spin-1/2 representations

arXiv:hep-th/0110231 · doi:10.1007/s10052-002-0938-6

Abstract

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 θ-part implies the Seiberg-Witten differential equations for the fermions.

7 pages, LaTeX