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arxiv: 1503.01552 · v2 · pith:DH7JJ2G7new · submitted 2015-03-05 · ✦ hep-th

Non-geometric Calabi-Yau compactifications and fractional mirror symmetry

classification ✦ hep-th
keywords calabi-yaucompactificationschiralmirrornon-geometricsymmetryassociatedcannot
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We construct a wide class of non-geometric compactifications of type II superstring theories preserving N=1 space-time supersymmetry in four dimensions, starting from Calabi-Yau compactifications at Gepner points. Particular examples of this construction provide quantum equivalences between Calabi-Yau compactifications and non-Calabi-Yau ones, generalizing mirror symmetry. The associated Landau-Ginzburg models involve both chiral and twisted chiral multiplets hence cannot be lifted to ordinary Calabi-Yau gauged linear sigma-models.

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