  D3-branes feel no force in no-scale flux compactifications of type IIB string
theory, but the nonperturbative effects required to stabilize the Kahler moduli
break the no-scale structure and generate a potential for D3-brane motion,
confining the branes to certain loci. D3-branes away from these loci break
supersymmetry spontaneously, by an F-term. We present the general conditions
for supersymmetric D3-brane vacua in models with a single Kahler modulus, then
explicitly calculate these vacua for D3-branes moving on the tip of the warped
deformed conifold. We find both continuous moduli spaces and isolated vacua. In
addition, we show that anti-D3-branes and D3-branes are localized to the same
regions by the nonperturbative potential, avoiding a potential obstacle to
brane inflation. We apply these results to determine whether angular motion of
a brane in a throat could play an important role in inflation, and find that
any inflation along the angular directions is short-lived because the field
space is very small.
