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Scaling Behavior on the Space of Calabi-Yau Manifolds

Rolf Schimmrigk
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Abstract

Recent work is reviewed which suggests that certain universal quantities, defined for all Calabi-Yau manifolds, exhibit a specific behavior which is not present for general Kähler manifolds. The variables in question, natural from a mathematical perspective, are of physical importance because they determine aspects of the low-energy string physics in four dimensions, such as Yukawa couplings and threshold corrections. It is shown that these quantities, evaluated on the complete class of Calabi-Yau hypersurfaces in weighted projective 4-space, exhibit scaling behavior with respect to a new scaling variable. (To appear in Mirror Symmetry II.)

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BibTeXRIS

Rolf Schimmrigk. 1996-12-13. Scaling Behavior on the Space of Calabi-Yau Manifolds. https://arxiv.org/abs/alg-geom/9612012

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