Anomalies and Fermion Content of Grand Unified Theories in Extra Dimensions

Nicolas Borghini, Yves Gouverneur, Michel H. G. Tytgat

Published 2001-08-10, updated 2001-12-27Version 2

The restrictions imposed by anomaly cancellation on the chiral fermion content of nonsupersymmetric gauge theories based on various groups are studied in spacetime dimension D=6, 8, and 10. In particular, we show that the only mathematically consistent chiral SU(5) theory in D=6 contains three nonidentical generations.