论文标题
calabi-yau指标，CFT和随机矩阵
Calabi-Yau metrics, CFTs and random matrices
论文作者
论文摘要
Calabi-Yau歧管在数学和物理学中都起着关键作用，对于从弦理论中得出粒子物理的现实模型尤其重要。不幸的是，对于这些空间上的显式指标知之甚少，例如，我们无法在这些模型中计算粒子质量或耦合。我们回顾了在此方向上使用数值近似值来计算这些空间上拉普拉斯的光谱的最新进展。我们举例说明人们可以用这种新的“数据”做些什么，从而在Calabi-yau指标和随机矩阵理论之间提供了令人惊讶的联系。
Calabi-Yau manifolds have played a key role in both mathematics and physics, and are particularly important for deriving realistic models of particle physics from string theory. Unfortunately, very little is known about the explicit metrics on these spaces, leaving us unable, for example, to compute particle masses or couplings in these models. We review recent progress in this direction on using numerical approximations to compute the spectrum of the Laplacian on these spaces. We give an example of what one can do with this new "data", giving a surprising link between Calabi-Yau metrics and random matrix theory.
