Abstract
We consider compactifications of type IIA superstring theory on mirror-folds obtained as K3 fibrations over two-tori with non-geometric monodromies involving mirror symmetries. At special points in the moduli space these are asymmetric Gepner models. The compactifications are constructed from non-geometric automorphisms that arise from the diagonal action of an automorphism of the K3 surface and of an automorphism of the mirror surface. We identify the corresponding gaugings of \( \mathcal{N} \) = 4 supergravity in four dimensions, and show that the minima of the potential describe the same four-dimensional low-energy physics as the worldsheet formulation in terms of asymmetric Gepner models. In this way, we obtain a class of Minkowski vacua of type II string theory which preserve \( \mathcal{N} \) = 2 supersymmetry. The massless sector consists of \( \mathcal{N} \) = 2 supergravity coupled to 3 vector multiplets, giving the STU model. In some cases there are additional massless hypermultiplets.
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Hull, C.M., Israël, D. & Sarti, A. Non-geometric Calabi-Yau backgrounds and K3 automorphisms. J. High Energ. Phys. 2017, 84 (2017). https://doi.org/10.1007/JHEP11(2017)084
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DOI: https://doi.org/10.1007/JHEP11(2017)084