A Generalized Construction of Calabi-Yau Models and Mirror Symmetry

We extend the construction of Calabi-Yau manifolds to hypersurfaces innon-Fano toric varieties, requiring the use of certain Laurent definingpolynomials, and explore the phases of the corresponding gauged linear sigmamodels. The associated non-reflexive and non-convex polytopes provide ageneralizati...

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Detalles Bibliográficos
Autores principales: Berglund, Per, Hubsch, Tristan
Lenguaje:eng
Publicado: 2016
Materias:
hep-th
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.21468/SciPostPhys.4.2.009
http://cds.cern.ch/record/2236934
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author Berglund, Per
Hubsch, Tristan
author_facet Berglund, Per
Hubsch, Tristan
author_sort Berglund, Per
collection CERN
description We extend the construction of Calabi-Yau manifolds to hypersurfaces innon-Fano toric varieties, requiring the use of certain Laurent definingpolynomials, and explore the phases of the corresponding gauged linear sigmamodels. The associated non-reflexive and non-convex polytopes provide ageneralization of Batyrev's original work, allowing us to construct novel pairsof mirror models. We showcase our proposal for this generalization by examiningCalabi-Yau hypersurfaces in Hirzebruch n-folds, focusing on n=3,4 sequences,and outline the more general class of so-defined geometries.
id cern-2236934
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2016
record_format invenio
spelling cern-22369342022-07-10T02:47:43Zdoi:10.21468/SciPostPhys.4.2.009http://cds.cern.ch/record/2236934engBerglund, PerHubsch, TristanA Generalized Construction of Calabi-Yau Models and Mirror Symmetryhep-thParticle Physics - TheoryWe extend the construction of Calabi-Yau manifolds to hypersurfaces innon-Fano toric varieties, requiring the use of certain Laurent definingpolynomials, and explore the phases of the corresponding gauged linear sigmamodels. The associated non-reflexive and non-convex polytopes provide ageneralization of Batyrev's original work, allowing us to construct novel pairsof mirror models. We showcase our proposal for this generalization by examiningCalabi-Yau hypersurfaces in Hirzebruch n-folds, focusing on n=3,4 sequences,and outline the more general class of so-defined geometries.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.arXiv:1611.10300oai:cds.cern.ch:22369342016-11-30
spellingShingle hep-th
Particle Physics - Theory
Berglund, Per
Hubsch, Tristan
A Generalized Construction of Calabi-Yau Models and Mirror Symmetry
title A Generalized Construction of Calabi-Yau Models and Mirror Symmetry
title_full A Generalized Construction of Calabi-Yau Models and Mirror Symmetry
title_fullStr A Generalized Construction of Calabi-Yau Models and Mirror Symmetry
title_full_unstemmed A Generalized Construction of Calabi-Yau Models and Mirror Symmetry
title_short A Generalized Construction of Calabi-Yau Models and Mirror Symmetry
title_sort generalized construction of calabi-yau models and mirror symmetry
topic hep-th
Particle Physics - Theory
url https://dx.doi.org/10.21468/SciPostPhys.4.2.009
http://cds.cern.ch/record/2236934
work_keys_str_mv AT berglundper ageneralizedconstructionofcalabiyaumodelsandmirrorsymmetry
AT hubschtristan ageneralizedconstructionofcalabiyaumodelsandmirrorsymmetry
AT berglundper generalizedconstructionofcalabiyaumodelsandmirrorsymmetry
AT hubschtristan generalizedconstructionofcalabiyaumodelsandmirrorsymmetry

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