Number of Fermion Generations Derived from Anomaly Cancellation
- 27 June 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 87 (3) , 031801
- https://doi.org/10.1103/physrevlett.87.031801
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.Keywords
All Related Versions
This publication has 14 references indexed in Scilit:
- Bounds on universal extra dimensionsPhysical Review D, 2001
- Self-breaking of the standard model gauge symmetryPhysical Review D, 2000
- Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spacesNuclear Physics B, 1997
- A note on the Green-Schwarz mechanism in open-string theoriesPhysics Letters B, 1992
- Strings on orbifoldsNuclear Physics B, 1985
- Anomaly cancellations in supersymmetric D = 10 gauge theory and superstring theoryPhysics Letters B, 1984
- Gauge Noninvariance and Parity Nonconservation of Three-Dimensional FermionsPhysical Review Letters, 1984
- An SU(2) anomalyPhysics Letters B, 1982
- Effect of Anomalies on Quasi-Renormalizable TheoriesPhysical Review D, 1972
- An anomaly-free version of Weinberg's modelPhysics Letters B, 1972