  We derive the BPS equations for D3-branes embedded in AdS_5 X S^5 that
preserve at least two supercharges. These are given in terms of conditions on
the pullbacks of some space-time differential four-forms. Solutions to our
equations are shown to describe all the known giant and dual-giant gravitons in
AdS_5 X S^5. We then argue that the configuration spaces of dual-giants can be
mapped to non-compact hyperbolic versions of complex projective spaces, in
contrast with the giants, whose configuration spaces have been mapped to
complex projective spaces. We quantize the configuration space of the 1/8-BPS
dual-giants with two angular momenta in AdS_5 and one angular momentum in S^5
and find agreement with the partition function in the literature obtained both
from counting appropriate 1/8-BPS configurations of giants and the boundary
gauge theory considerations.
