  We consider the worldvolume theory of N D3-branes transverse to various
non-compact Calabi-Yau spaces, and describe subtleties in the counting of
chiral primary operators in such theories due to the presence of multiple
branches of moduli space. Extra branches, beyond those directly related to the
transverse geometry, result in additional terms in the generating functions for
single- and multi-trace operators. Ideals in the N=1 chiral ring correspond to
various branches and, in the large N limit, the operator counting reveals a
product of Fock spaces, including the Fock space of bosons on the space
transverse to the branes.
