A Generalized Construction of Calabi-Yau Models and Mirror Symmetry
High Energy Physics - Theory
2018-04-20 v3
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.
Keywords
Cite
@article{arxiv.1611.10300,
title = {A Generalized Construction of Calabi-Yau Models and Mirror Symmetry},
author = {Per Berglund and Tristan Hubsch},
journal= {arXiv preprint arXiv:1611.10300},
year = {2018}
}
Comments
29 pages, 6 figures. Typos corrected, references added, clarifications and an expanded appendix A following the comments by the referees (v.3)