  We analyse the ten-dimensional Einstein equations in the KKLT setting. We
verify that the quartic gaugino term is needed to remove singularities in the
on-shell action as suggested by Hamada et. al. We contrast two approaches that
have been taken in the literature when employing the effect of gaugino
condensation in the ten-dimensional equations of motion. Here we follow the
proposal to insert explicit non-zero fermion bilinar vev into the localised
energy-momentum tensor of the 7-branes obtained from varying the 10d on-shell
action with respect to the 10d metric. Our procedure is common in
semi-classical physics and is manifestly local in 10d. However, it does not
lead to the KKLT effective field theory. The alternative procedure of deriving
the energy momentum tensor after replacing fermion bilinears by the gaugino
vev, might be less well motivated in 10d, but reproduces the results of the
KKLT effective field theory.

High Energy Physics - Theory