  We consider supergravity compactifications on 6-dimensional twisted tori,
which are 5-torus fibrations of the circle. The motion of branes on such
manifolds can lead to power-law potentials at low energy, that may be useful
for inflation. We classify the possible low energy potentials one can obtain by
wrapping branes on different cycles of the fibre. Turning to the problem of
moduli stabilization in such models, we prove a no-go result for solutions with
parametrically small cosmological constant, under certain assumptions for the
orientifolds and D-branes. We also consider the role of discrete Wilson lines
in moduli stabilization on general closed manifolds, and show that gauge
invariance restricts their contributions to the effective potential. We derive
the allowed discrete Wilson lines in massive Type IIA supergravity on twisted
tori. We conclude with a detailed example, computing the effective potentials
in a class of models involving a twisted torus and an orientifold 6-plane.
