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Calabi-Yau Metrics for Quotients and Complete Intersections

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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 Z_3 x Z_3 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.

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hep-th 1

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2026 1

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What to do with a Ricci-flat Calabi--Yau metric?

hep-th · 2026-05-22 · unverdicted · novelty 2.0

A roadmap paper describing potential applications of numerical Ricci-flat Calabi-Yau metrics to heterotic string phenomenology and mathematical questions in special geometry.

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  • What to do with a Ricci-flat Calabi--Yau metric? hep-th · 2026-05-22 · unverdicted · none · ref 22 · internal anchor

    A roadmap paper describing potential applications of numerical Ricci-flat Calabi-Yau metrics to heterotic string phenomenology and mathematical questions in special geometry.