We also describe how to compute the spectrum for these Calabi-Yau manifolds using the theory of resolutions of singularities. The Landau-Ginzburg type computation of the spectra leads to complete agreement with both, the exact calculation and the manifold results....
卡拉比-丘流形Calabi-Yau manifold Posted on 2011 年 12 月 05 日 弦理论(string theory)认为,自然界的基本粒子和基本作用力是极小微小的“弦”振动的结果,人类生活在有十维空间的宇宙中,但日常生活中只能感知四维空间,另外六维空间则以奇妙结构卷藏在宇宙中,这个结构就是被丘成桐证明的“卡拉比-丘流形”。卡拉比...
从complex manifold讲起，一点点推到Kahler manifold 再到Calabi-Yau manifold，可以很清楚地看到每次都加...
In the previous note, we have learned some mathematical properties of Calabi-Yau manifold. In this note we will see how Calabi-Yau manifold could arise in string theory compactification. Consider he…
The possible ways of compacitification of the E 8 E 8 Superstring theory to four dimensions are reviewed. The phenomenological need for N =1 supersymmetry is argued (on quite general grounds) to favour the choice of a Calabi-Yau manifold for the compact internal manifold. The massless ...
万方数据弦理论与卡一丘流形的结合冯晓华,高策到一种统一理论将自然界已经发现的不同的力统一起来。牛顿将天体之间的力学与地上的力学统一在和米尔斯�.�甅��,��~���岢龉娣冻±砺�来解决自然界中已经存在的四个基本力:电磁力、强目的
The fundamental period of two-parameter Calabi-Yau n-folds is equal to the number of rational points in the zeroth order approximation. The 4D Calabi-Yau manifold corresponding to F-theory is an example of this case. Our result can be used to study open string and type II/F-theory...
locally a Calabi-Yau manifold with singularities which is also taken to be large so that a semiclassical string analysis is valid. As there are singularities, the commutative geometry alone does not describe how these are resolved, and it is here that the non-commutative ...
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X (4.7) As on every Calabi-Yau manifold, we have of course also the holomorphic (3, 0) form Ω0. For CICYs this form can be explicitly constructed [1, 3] by first defining the ambient space (3, 0) form Ωˆ via Ωˆ ∧ dP1 ∧···∧ dPK = µ , µ = µ1 ...