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Number of Fermion Generations Derived from Anomaly Cancellation

By Bogdan A. Dobrescu and Erich Poppitz


We prove that global anomaly cancellation requires more than one generation of quarks and leptons, provided that the standard model fields propagate in two universal extra dimensions. Furthermore, if the fermions of different generations have the same gauge charges and chiralities, then global anomaly cancellation implies that there must be three generations.Comment: 10 pages. Version to appear in Phys. Rev. Lett.; a few clarifications and references added; two statements corrected on page 6 regarding supersymmetry and four extra dimension

Topics: High Energy Physics - Phenomenology, High Energy Physics - Theory
Publisher: 'American Physical Society (APS)'
Year: 2001
DOI identifier: 10.1103/PhysRevLett.87.031801
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