allow flux numbers tending to infinity. In the following we would like to discuss the properties of the string theory landscape along these directions.

Supersymmetric Solutions
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Our goal in this section is to search for supersymmetric solutions at weak coupling and for large values of the complex structure. We shall look for solutions with diagonal complex structure $(t_1=t_2=t_3)$ and will later conjecture that this simpler situation reproduces all the features of the more generic situation. For three equal complex structures the flux superpotentials take the form $$\eqlabel{diagonal}
\begin{split}
W_{RR}&= - t^3 M_0 + 3 t^2 M_2 + 3 t M_4 + M_6, \\
W_{NS}  &= - t^3 N_0 + 3 t^2 N_2 + 3 tN_4+N_6.
\end{split}$$ The Kähler potential for the bulk moduli and axio-dilaton is $$\eqlabel{kahler} K =-\log\left[  \ii (t-\bar t)^3 (\tau -
\bar\tau)^4\right].$$ Using this form of the potentials we shall now look for Minkowski as well as AdS type supersymmetric solutions.

Minkowski space solutions
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In the following we will see that supersymmetric Minkowski space solutions do not emerge for large complex structure but are confined to finite value of the complex structure and strong coupling. These are the solutions presented in [@BVW]. Groundstates corresponding to 