Efficient Classification of Heterotic String Vacua

杂优势串真空的高效分类

• 批准号: 2890873
• 金额: --
• 依托单位: University of Liverpool
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2023
• 资助国家: 英国
• 起止时间: 2023 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2890873
• 关键词: Efficient; Classification; Heterotic; String; Vacua

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.

摘要/ Abstract摘要：在过去的30多年里，对弦的异质紧化现象进行了越来越复杂的研究。Z2xZ2轨道类已经产生了最有前途的现象学模型。在过去的20多年里，专门的计算机化工具已经开发出来，用于研究这些弦真空的更大空间，从而导致了根本性的新发现。该学生将继续开发计算工具和方法，带来人工智能和机器学习的新方法。在第一个实例中，学生将把对真空能量的分析和对德西特真空的研究扩展到从速子十维弦真空降下来的弦模型。本博士将专注于对异质性弦理论的真空进行分类，特别关注S-tilda模型。使用自由费米子形式，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；无速子的；宇宙常数。学生将学习超对称（SUSY）、共形场论（CFT）和暗物质（DM）等概念。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论的效率。