Efficient Classification of Heterotic String Vacua

摘要：在过去的30多年里，杂合弦紧化的现象学研究已经进行了越来越多的复杂性。Z2 xZ 2轨道折叠的类导致了最有前途的唯象模型。在过去的20多年里，专门的计算机化工具已经被开发出来，用于研究这些弦真空的更大空间，从而导致了基本的新发现。学生将继续开发计算工具和方法，从人工智能和机器学习带来新的方法。在第一个例子中，学生将扩展真空能量的分析和对德西特真空的研究，以从快子十维弦真空下降到弦模型。这个博士学位将专注于分类杂种优势刺理论的真空，特别关注S-tilda模型。使用自由费米形式主义，博士将探索景观，以找到可行的模型，满足某些现象学标准，如世代数;快子免费;宇宙常数。学生将与概念，如超对称性（SUSY），共形场论（CFT）和暗物质（DM）。学生还将使用高性能计算，机器学习和数据密集型计算技术来提高方法的效率。

Abstract: Over the past 30+ years phenomenological studies of heterotic string compactifications have been conducted with increasing levels of complexity. The class of Z2xZ2 orbifolds has led to the most promising phenomenological models. Over the past 20+ years dedicated computerised tools have been developed to study larger spaces of these string vacua that led to fundamental new discoveries. The student will continue the development of the computational tools and methodology, bringing new methods from Artificial Intelligence and Machine Learning. In the first instance the student will extend the analysis of the vacuum energy and the search to de Sitter vacua to string models that descend from tachyonic ten dimensional string vacua. This PhD will focus on classifying the vacua of Heterotic Sting Theory, with a particular focus on S-tilda models. Using the Free Fermionic Formalism, the PhD will explore the landscape to find viable models which satisfy certain phenomenological criteria, such as generation number; being tachyon free; the cosmological constant. The student will work with concepts such as Supersymmetry (SUSY), Conformal Field Theory (CFT), and Dark Matter (DM). The student will also use high performance computing, machine learning, and data intensive computing techniques to improve the methodology's efficiency.