Calabi-Yau Metrics for Quotients and Complete Intersections

Details Calabi-Yau Metrics for Quotients and Complete Intersections Calabi-Yau Metrics for Quotients and Complete Intersections

2007-12-20

arxiv.org/abs/0712.3563v2

JHEP0805:080,2008

Physics

High Energy Physics

High Energy Physics - Theory

59 pages, 9 figures, LaTeX. v2: Clarifications and references added

Scientific paper

10.1088/1126-6708/2008/05/080

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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