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Anomaly-free sets of fermions

J. Math. Phys. 47, 082301 (2006); doi:10.1063/1.2222081

Published 1 August 2006

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Puneet Batra
High Energy Physics Division, Argonne National Lab, Argonne, Illinois 60439

Bogdan A. Dobrescu
Theoretical Physics Department, Fermilab, Batavia, Illinois 60510

David Spivak
Mathematics Department, University of California, Berkeley, California 94720
We present new techniques for finding anomaly-free sets of fermions. Although the anomaly cancellation conditions typically include cubic equations with integer variables that cannot be solved in general, we prove by construction that any chiral set of fermions can be embedded in a larger set of fermions which is chiral and anomaly-free. Applying these techniques to extensions of the standard model, we find anomaly-free models that have arbitrary quark and lepton charges under an additional U(1) gauge group. ©2006 American Institute of Physics
History: Received 9 December 2005; accepted 13 June 2006; published 1 August 2006
Permalink: http://link.aip.org/link/?JMAPAQ/47/082301/1
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KEYWORDS and PACS

Keywords
PACS
  • 11.15.-q
    Gauge field theories
  • 11.30.Rd
    Chiral symmetries in particles and fields
  • 12.60.-i
    Models beyond the standard model
  • YEAR: 2006

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0022-2488 (print)   1089-7658 (online)
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