We embed two 4D chiral multiplets of opposite representations in the 5D N=2
SU(N+K) gauge theory compactified on an orbifold S1/(Z2​×Z2′​).
There are two types of orbifold boundary conditions in the extra dimension to
obtain the 4D N=1 SU(N)×SU(K)×U(1) gauge theory from the bulk: in
Type I, one has the bulk gauge group at y=0 and the unbroken gauge group at
y=Ï€R/2 while in Type II, one has the unbroken gauge group at both fixed
points. In both types of orbifold boundary conditions, we consider the zero
mode(s) as coming from a bulk (K+N)-plet and brane fields at the fixed
point(s) with the unbroken gauge group. We check the consistency of this
embedding of fields by the localized anomalies and the localized FI terms. We
show that the localized anomalies in Type I are cancelled exactly by the
introduction of a bulk Chern-Simons term. On the other hand, in some class of
Type II, the Chern-Simons term is not enough to cancel all localized anomalies
even if they are globally vanishing. We also find that for the consistent
embedding of brane fields, there appear only the localized log FI terms at the
fixed point(s) with a U(1) factor.Comment: LaTeX file of 19 pages with no figure, published versio