An example of Berglund-H\"ubsch mirror symmetry for a Calabi-Yau complete intersection
Stefano Filipazzi, Franco Rota
TL;DR
This paper investigates a specific Calabi-Yau threefold, verifies mirror symmetry through cohomological computations, and proposes an explicit mirror map inspired by Berglund-H"ubsch and Krawitz's frameworks.
Contribution
It provides a concrete example of Berglund-H"ubsch mirror symmetry for a Calabi-Yau complete intersection and introduces an explicit mirror map for this case.
Findings
Verified mirror symmetry at a cohomological level.
Proposed an analogue of Berglund-H"ubsch mirror symmetry for the example.
Constructed an explicit mirror map following Krawitz's approach.
Abstract
We study an example of complete intersection Calabi-Yau threefold due to Libgober and Teitelbaum arXiv:alg-geom/9301001, and verify mirror symmetry at a cohomological level. Direct computations allow us to propose an analogue to the Berglund-H\"ubsch mirror symmetry setup for this example arXiv:hep-th/9201014. We then follow the approach of Krawitz to propose an explicit mirror map arXiv:0906.0796.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Advanced Algebra and Geometry