Eur. Phys. J. C 24, 491-494 (2002)
DOI: 10.1007/s10052-002-0938-6

Noncommutative spin- 1/2 representations

J.M. Grimstrup¹, H. Grosse², E. Kraus³, L. Popp¹, M. Schweda¹ and R. Wulkenhaar<sup>2

1</sup>  Institut für Theoretische Physik, Technische Universität Wien, Wiedner Hauptstraße 8-10, 1040 Wien, Austria
²  Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, 1090 Wien, Austria
³  Physikalisches Institut der Universität Bonn, Nußallee 12, 53115 Bonn, Germany

(Received: 5 December 2001 / Published online: 22 May 2002)

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

© Società Italiana di Fisica, Springer-Verlag 2002