Moduli as inflatons in heterotic M-theory (cosmological aspects)

We consider different cosmological aspects of heterotic M-theory. In particular, we look at the dynamical behavior of the two relevant moduli in the theory, namely the length of the eleventh segment (pi rho) and the volume of the internal six manifold (V) in models where supersymmetry is broken by multiple gaugino condensation. We look at different ways to stabilize these moduli, namely racetrack scenarios with and without nonperturbative corrections to the Kahler potential. The existence of different flat directions in the scalar potential, and the way in which they can be partially lifted, is discussed as well as their possible role in constructing a viable model of inflation. Some other implications, such as the status of the moduli problem within these models, are also studied. (Author)