论文标题
弦乐景观中的calabi-yau空间
Calabi-Yau Spaces in the String Landscape
论文作者
论文摘要
Calabi-Yau空间或Kahler空间承认为零的RICCI曲率，在过去半个世纪的理论物理学和纯数学中发挥了关键作用。在物理学中，它们构成了第一个自然的解决方案，将超弦理论压缩到我们的4维宇宙中，这主要是由于它们的等效定义之一是对协变量恒定旋转器的接纳。 Since the mid-1980s, physicists and mathematicians have joined forces in creating explicit examples of Calabi-Yau spaces, compiling databases of formidable size, including the complete intersecion (CICY) dataset, the weighted hypersurfaces dataset, the elliptic-fibration dataset, the Kreuzer-Skarke toric hypersurface dataset, generalized CICYs etc., totaling at least on 10^10歧管的顺序。这些都促进了巨大的弦景观，这是众多可能的真空解决方案，以使弦线紧凑。最近，在计算机科学和数据科学方面，这项合作富含了计算机科学和数据科学，在计算几何量和后者中算法的复杂性，在提取意外信息时采用机器学习等技术。这些努力受到弦乐景观物理学的启发，它使对卡拉比（Calabi-Yau）空间的调查是最令人兴奋和跨学科的领域之一。 邀请对牛津研究百科全书的贡献，B。〜Foster ed。，Oup，2020
Calabi-Yau spaces, or Kahler spaces admitting zero Ricci curvature, have played a pivotal role in theoretical physics and pure mathematics for the last half-century. In physics, they constituted the first and natural solution to compactification of superstring theory to our 4-dimensional universe, primarily due to one of their equivalent definitions being the admittance of covariantly constant spinors. Since the mid-1980s, physicists and mathematicians have joined forces in creating explicit examples of Calabi-Yau spaces, compiling databases of formidable size, including the complete intersecion (CICY) dataset, the weighted hypersurfaces dataset, the elliptic-fibration dataset, the Kreuzer-Skarke toric hypersurface dataset, generalized CICYs etc., totaling at least on the order of 10^10 manifolds. These all contribute to the vast string landscape, the multitude of possible vacuum solutions to string compactification. More recently, this collaboration has been enriched by computer science and data science, the former, in bench-marking the complexity of the algorithms in computing geometric quantities and the latter, in applying techniques such as machine-learning in extracting unexpected information. These endeavours, inspired by the physics of the string landscape, have rendered the investigation of Calabi-Yau spaces one of the most exciting and inter-disciplinary fields. Invited contribution to the Oxford Research Encyclopedia of Physics, B.~Foster Ed., OUP, 2020
