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Noncommutative spin-1/2 representations

  • Theoretical Physics
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The European Physical Journal C - Particles and Fields Aims and scope Submit manuscript

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 \(\theta\)-part implies the Seiberg-Witten differential equations for the fermions.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Technische Universität Wien, Wiedner Hauptstraße 8-10, 1040 Wien, Austria , , , , , , AT

    J.M. Grimstrup, L. Popp & M. Schweda

  2. Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, 1090 Wien, Austria , , , , , , AT

    H. Grosse & R. Wulkenhaar

  3. Physikalisches Institut der Universität Bonn, Nußallee 12, 53115 Bonn, Germany , , , , , , DE

    E. Kraus

Authors
  1. J.M. Grimstrup
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  2. H. Grosse
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  3. E. Kraus
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  4. L. Popp
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  5. M. Schweda
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  6. R. Wulkenhaar
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Received: 5 December 2001 / Published online: 22 May 2002

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Grimstrup, J., Grosse, H., Kraus, E. et al. Noncommutative spin-1/2 representations. Eur. Phys. J. C 24, 491–494 (2002). https://doi.org/10.1007/s10052-002-0938-6

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  • DOI: https://doi.org/10.1007/s10052-002-0938-6

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