On fermion masses in a dimensional reduction scheme

A candidate model for Grand Unification, arising from a Coset Space Dimensional Reduction scheme based on anE(7) gauge theory, is found to have a promising set of fermionic quantum numbers. Unfortunately, these fermions all develop large (geometric) masses. We derive formulae for the square of the Dirac operator and for fermion masses for a large class of CSDR schemes, revealing this as a general feature.