Non-geometric Calabi-Yau compactifications and fractional mirror symmetry

Abstract

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.

20 pages no figures ; to appear in Phys. Rev. D. ; extended version of an earlier preprint arXiv:1409.5771 with more emphasis on asymmetric models and a discussion about GLSMs added. V2: Comments on relation with previous works added