Equivalence of Deformations of Berglund Hübsch Mirror Pairs

Fuente: arXiv
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Auteurs principaux: Belavin, Alexander A., Gepner, Doron R.
Format: Preprint
Publié: 2024
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author Belavin, Alexander A.
Gepner, Doron R.
author_facet Belavin, Alexander A.
Gepner, Doron R.
contents We investigate here the deformations of Berglund Hübsch loop and chain mirrors where the original manifolds are defined in the same weighted projective space. We show that the deformations are equivalent by two methods. First, we map directly the two models to each other and show that the deformations are the same for $79$ "Good" models, but not for the $77$ "Bad" ones. We then investigate the orbifold of the mirror pair by the maximal symmetry group and show that the number of deformations is the same and that they are almost the same, i.e., the first four exponents of the deformations are identical.
format Preprint
id arxiv_https___arxiv_org_abs_2408_15182
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Equivalence of Deformations of Berglund Hübsch Mirror Pairs
Belavin, Alexander A.
Gepner, Doron R.
High Energy Physics - Theory
Mathematical Physics
Algebraic Geometry
We investigate here the deformations of Berglund Hübsch loop and chain mirrors where the original manifolds are defined in the same weighted projective space. We show that the deformations are equivalent by two methods. First, we map directly the two models to each other and show that the deformations are the same for $79$ "Good" models, but not for the $77$ "Bad" ones. We then investigate the orbifold of the mirror pair by the maximal symmetry group and show that the number of deformations is the same and that they are almost the same, i.e., the first four exponents of the deformations are identical.
title Equivalence of Deformations of Berglund Hübsch Mirror Pairs
topic High Energy Physics - Theory
Mathematical Physics
Algebraic Geometry
url https://arxiv.org/abs/2408.15182