Chiral orbifold construction of field theories with extra dimensions

We build higher dimensional field theories which have chiral fermion zero-modes on orbifolds. We show that orbifold boundary conditions and scalar vacuum expectation values interplay to produce chiral fermions localized on fat three branes.; We develop a scheme for computing field propagators in higher dimensional theories obeying chiral orbifold boundary conditions. Using this scheme we compute the loop corrections to an effective field theory in five dimensions. We find that the renormalization group running of the higher dimensional bulk theory leads to a running of the four dimensional brane couplings.; We generalize an argument to verify that the chiral anomaly that arises in these chiral orbifold theories is entirely confined on and uniformly distributed over the fixed points of the orbifold, independent of the shape of the chiral zero-modes.; We construct a setup in which a scalar field with appropriate profile in the extra dimension is used to address the hierarchy problem and also localize both chiral fermions and zero-mode gravitons on the same three brane in five dimensions.; We construct exact and nonpetrurbative quantum moduli spaces and dynamical superpotentials of an infinite set of linear and ring $N$ = 1 supersymmetric moose theories with SU(2) gauge group at each node and link chiral superfields in the fundamental representation.