  The Mirabelli-Peskin model is a 5D super-Yang-Mills theory compactified on an
orbifold $S^1/Z_2$ with the 4D Wess-Zumino model localized on the boundaries
(or branes). As the 5D gauge multiplet couples to 4D chiral multiplets through
delta functions, the model contains singular terms proportional to $\delta(0)$
after integrating out a 5D auxiliary field. This belongs to the same type of
singularity as what was first noticed by Horava in the orbifold
compactification of heterotic string theory. Mirabelli-Peskin showed that this
singularity was field-theoretically harmless by demonstrating its neat
cancellation by the singularity produced by the infinite sum of Kaluza-Klein
(KK) excitation modes of bulk propagator. In this paper, the similar
cancellation is proved to occur also in a warped version of Mirabelli-Peskin
model with the background of ${AdS}_5$. The bulk propagator of scalar component
of 5D vector supermultiplet in the warped extra dimension is explicitly KK
expanded. Then, its second derivatives by the coordinates of $S^1/Z_2$ generate
a term proportional to $\delta(0)$ at the boundaries. The cancellation is
considered to take place perturbatively to all orders of coupling constants as
well as to all loops.
