deformations so that the size of the manifold is not a modulus. Due to this fact, the supergravity approximation is (strictly speaking) not valid and CFT techniques need to be used to describe the internal theory. Nevertheless the vacua that we will present are perturbatively and non-perturbatively stable. As argued in [@BVW] this is due to the existence of a non-renormalization theorem of the type IIB flux superpotential, which will be presented in the next subsection in some detail.

The above LG model can also be thought of as a toroidal orbifold, where the orbifold group is a non-geometrically acting quantum symmetry [@Vafaorbifold] [@BVW]. The type IIA mirror of this model is however geometric. It can be represented in terms of a torus $T^6=(T^2)^3$ divided by a ${\zet}_3 \times {\zet}_3$ symmetry generated by $$\eqlabel{generated}
\begin{split}
g_{12}&: (z_1,z_2,z_3) \rightarrow (\omega z_1,\omega^{-1} z_2,z_3),
\\
g_{23}&: (z_1,z_2,z_3) \rightarrow (z_1,\omega z_2,\omega^{-1}z_3),
\end{split}$$ where $z_i$, $i=1,2,3$ are the coordinates of the torus.

From this representation it becomes obvious that the mirror of our model is related to the toroidal model presented in [@wati], though the action of the orbifold symmetry is somewhat different. Similarly as in [@wati] our model has three bulk moduli that correspond 