Number of fermion generations derived from anomaly cancellation.

Authors :: Dobrescu BA
Poppitz E
Source :: Physical review letters [Phys Rev Lett] 2001 Jul 16; Vol. 87 (3), pp. 031801. Date of Electronic Publication: 2001 Jun 27.
Publication Year :: 2001
Abstract: 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.