THE CHIRAL AND FLAVOR PROJECTION OF DIRAC–KÄHLER FERMIONS IN THE GEOMETRIC DISCRETIZATION

It is shown that an exact chiral symmetry can be described for Dirac-Kahler fermions using the two complexes of the geometric discretization. This principle is extended to describe exact flavour projection and it is shown that this necessitates the introduction of a new operator and two new structures of complex. To describe simultaneous chiral and flavour projection, eight complexes are needed in all and it is shown that projection leaves a single flavour of chiral field on each.
v2: 17 pages, Latex. 5 images eps. Added references, reformatted and clarification of some points