There is a 10-dimensional solution similar to the one in the RS model
where Near the D3 branes, the geometry is . At large
, the product structure of
the 10-dimensional metric breaks down and
ceases to be a good coordinate, and the 6D
extra-dimensional space
is not a product of a five sphere and one-dimensional spacetime. This gives a
minimum distance
. This cut-off acts as a TeV brane in the RS model. On the other hand,
for
, the AdS geometry smoothly glues into a Calabi–Yau compactification. Thus,
the compact manifold plays the role of the Planck brane in the RS model, acting as a cut-off
of the spacetime. The minimum warp factor
is determined by the flux associated
with
and
and thanks to the warping, it is possible to realize a large hierarchy [170]
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