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Review of compact spaces for type IIA/IIB theories and generalised fluxes

In the present project we study compactifications of type IIA/IIB string theories on toroidal orbifolds T/Γ. We present the moduli space for N = 1 four-dimensional reductions and its topological properties. To fix the value of all moduli, we will construct the most general holomorphic superpotential W using a set of T-dual iterations for the fluxes. Using a T toy-model, we will give an introductory description to the background of these generalised fluxes.