Scaling Behavior on the Space of Calabi-Yau Manifolds

Details Scaling Behavior on the Space of Calabi-Yau Manifolds Scaling Behavior on the Space of Calabi-Yau Manifolds

1996-12-12

arxiv.org/abs/alg-geom/9612012v2

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 4 eps figs Latex

Scientific paper

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 K\"ahler 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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