A Generalized Construction of Calabi-Yau Models and Mirror Symmetry
Per Berglund, Tristan Hubsch
SciPost Phys. 4, 009 (2018) · published 20 February 2018
- doi: 10.21468/SciPostPhys.4.2.009
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Abstract
We extend the construction of Calabi-Yau manifolds to hypersurfaces in non-Fano toric varieties, requiring the use of certain Laurent defining polynomials, and explore the phases of the corresponding gauged linear sigma models. The associated non-reflexive and non-convex polytopes provide a generalization of Batyrev's original work, allowing us to construct novel pairs of mirror models. We showcase our proposal for this generalization by examining Calabi-Yau hypersurfaces in Hirzebruch n-folds, focusing on n=3,4 sequences, and outline the more general class of so-defined geometries.
Cited by 16
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 Per Berglund,
- 3 Tristan Hubsch
- 1 Organisation européenne pour la recherche nucléaire / European Organization for Nuclear Research [CERN]
- 2 University of New Hampshire [UNH]
- 3 Howard University
Funder for the research work leading to this publication