1996/12/12 by Rolf Schimmrigk, Schimmrigk, Rolf
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #alg-geom #hep-th #math.AG
paper · pdf · doi:10.48550/arxiv.alg-geom/9612012
11 pages, 4 eps figs Latex
arxiv created 1996/12/13 · arxiv updated 2009/11/30
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.)