  The spontaneous symmetry breaking of a local chiral symmetry to its diagonal
vector symmetry naturally realizes a complete geometrical structure more
general than that of Yang-Mills (YM) theory, rather similar to that of gravity.
A good example is the Quantum Chromodynamics (QCD) with respect to the Chiral
Color model. Also, a new anomaly-free particle content for a Chiral Color model
is introduced: the Chiral Color can be realized without introducing whole new
generations of quarks and leptons, but by simply enlarging each generation with
new exotic fermions.
