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

该项目包括两个主要部分。第一部分是关于卡-丘紧化，主要是杂种优势字符串，并旨在系统搜索有前途的真空使用先进的计算方法，如遗传算法和机器学习技术。第二部分涉及卡-丘流形之外的弦紧化，特别关注具有SU（3）结构的流形。它的主要目的是构建类的流形，可用于弦紧化和分析这些紧化的现象。

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.