منابع مشابه
Counting higher genus curves in a Calabi-Yau manifold
We explicitly evaluate the low energy coupling Fg in a d = 4,N = 2 compactification of the heterotic string. The holomorphic piece of this expression provides the information not encoded in the holomorphic anomaly equations, and we find that it is given by an elementary polylogarithm with index 3− 2g, thus generalizing in a natural way the known results for g = 0, 1. The heterotic model has a d...
متن کاملOn Calabi-Yau supermanifolds
We prove that a Kähler supermetric on a supermanifold with one complex fermionic dimension admits a super Ricci-flat supermetric if and only if the bosonic metric has vanishing scalar curvature. As a corollary, it follows that Yau’s theorem does not hold for supermanifolds. Calabi[1] proposed that if a Kähler manifold has vanishing first Chern class, that is, the Ricci-form obeys Rij̄(g) = ∂iv̄j ...
متن کاملGeneralized Calabi-Yau manifolds
A geometrical structure on even-dimensional manifolds is defined which generalizes the notion of a Calabi-Yau manifold and also a symplectic manifold. Such structures are of either odd or even type and can be transformed by the action of both diffeomorphisms and closed 2-forms. In the special case of six dimensions we characterize them as critical points of a natural variational problem on clos...
متن کاملDeformed Calabi-yau Completions
We define and investigate deformed n-Calabi-Yau completions of homologically smooth differential graded (=dg) categories. Important examples are: deformed preprojective algebras of connected non Dynkin quivers, Ginzburg dg algebras associated to quivers with potentials and dg categories associated to the category of coherent sheaves on the canonical bundle of a smooth variety. We show that defo...
متن کاملCalabi-Yau Compactification
When asked about the ten-dimensional nature of superstring theory, Richard Feynman once replied, “The only prediction [string theory] makes is one that has to be explained away because it doesn’t agree with experiment.” [8] In a sense, this skepticism is not unfounded, and if string theory did not have so many other desirable features (being a renormalizable theory containing interacting spin-2...
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ژورنال
عنوان ژورنال: Scholarpedia
سال: 2009
ISSN: 1941-6016
DOI: 10.4249/scholarpedia.6524