String Compactifications on Calabi-Yau and SU(3) Structure Manifolds

这个项目包括两个主要部分。第一部分关注的是Calabi-Yau紧化，主要是异质弦的紧化，旨在使用先进的计算方法，如遗传算法和机器学习技术，系统地搜索有前途的真空。第二部分讨论了超越Calabi-Yau流形的弦紧化，特别关注具有SU(3)结构的流形。其主要目的是构造可用于弦紧化的此类流形类，并分析这些紧化的现象学。

This project consists of two major parts. The first part is concerned with Calabi-Yau compactifications, mainly of the heterotic string, and is aiming at systematic searches of promising vacua using advanced computational methods, such as genetic algorithms and machine learning techniques. The second part deals with string compactifications beyond Calabi-Yau manifolds, specifically focusing on manifolds with SU(3) structure. Its main aim is to construct classes of such manifolds which can be used for string compactifications and to analyse the phenomenology of these compactifications.