An example of Berglund-Hübsch mirror symmetry for a Calabi-Yau complete intersection

2017/11/08 by Stefano Filipazzi, Franco Rota
Mathematics · #math.AG #msc:14J33

paper · pdf · doi:10.4418/2018.73.1.14

published as Le matematiche, 73 (1), 2018, pp. 191--209 · 18 pages, 4 tables

arxiv created 2017/11/08 · arxiv updated 2020/05/08

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-Hübsch 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.

Citations

• Lines on Calabi Yau complete intersections, mirror symmetry, and Picard Fuchs equations
• A generalized construction of mirror manifolds
• FJRW rings and Landau-Ginzburg Mirror Symmetry