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Motivated by a class of flux compactifications of type IIA strings on rigidCalabi-Yau manifolds, preserving N=2 local supersymmetry in four dimensions, wederive a non-perturbative potential of all scalar fields from the exactD-instanton corrected metric on the hypermultiplet moduli space. Applying thispotential to moduli stabilization, we find a discrete set of exact vacua foraxions. At these critical points, the stability problem is decoupled into twosubspaces spanned by the axions and the other fields (dilaton and Kahlermoduli), respectively. Whereas the stability of the axions is easily achieved,numerical analysis shows instabilities in the second subspace.

Non-perturbative scalar potential inspired by type IIA strings on rigid CY