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

Brane Inflation and Moduli Stabilization on Twisted Tori