Calabi-Yau metrics for quotients and complete intersections

2007/12/31 by Volker Braun, Tamaz Brelidze, Michael R. Douglas +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic Geometry and Number Theory #Calabi–Yau manifold #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Heterotic string theory #Manifold (fluid mechanics) #Mathematical analysis #Mathematical physics #Mathematics #Moduli #Moduli space #Physics #Pure mathematics #Quantum mechanics #Quintic function #Quotient #Scheme (mathematics) #hep-th

paper · pdf · doi:10.1088/1126-6708/2008/05/080

published as JHEP 0805:080,2008 · 59 pages, 9 figures, LaTeX. v2: Clarifications and references added

arxiv created 2008/01/16 · openalex publication_date 2008/05/22 · arxiv updated 2015/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We extend previous computations of Calabi-Yau metrics on projective hypersurfaces to free quotients, complete intersections, and free quotients of complete intersections. In particular, we construct these metrics on generic quintics, four-generation quotients of the quintic, Schoen Calabi-Yau complete intersections and the quotient of a Schoen manifold with Z₃ x Z₃ fundamental group that was previously used to construct a heterotic standard model. Various numerical investigations into the dependence of Donaldson's algorithm on the integration scheme, as well as on the Kahler and complex structure moduli, are also performed.

Citations

• Integral Cohomology and Mirror Symmetry for Calabi-Yau 3-folds
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• Numerical Calabi–Yau metrics

Cited by

• Yukawa textures from heterotic stability walls