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A Generalized Construction of Calabi-Yau Models and Mirror Symmetry
We extend the construction of Calabi-Yau manifolds to hypersurfaces innon-Fano toric varieties, requiring the use of certain Laurent definingpolynomials, and explore the phases of the corresponding gauged linear sigmamodels. The associated non-reflexive and non-convex polytopes provide ageneralizati...
| Autores principales: | , |
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| Lenguaje: | eng |
| Publicado: |
2016
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| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.21468/SciPostPhys.4.2.009 http://cds.cern.ch/record/2236934 |
| Sumario: | We extend the construction of Calabi-Yau manifolds to hypersurfaces innon-Fano toric varieties, requiring the use of certain Laurent definingpolynomials, and explore the phases of the corresponding gauged linear sigmamodels. The associated non-reflexive and non-convex polytopes provide ageneralization of Batyrev's original work, allowing us to construct novel pairsof mirror models. We showcase our proposal for this generalization by examiningCalabi-Yau hypersurfaces in Hirzebruch n-folds, focusing on n=3,4 sequences,and outline the more general class of so-defined geometries. |
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