Higher Structure in String Theory

弦理论的高级结构

• 批准号: 2616241
• 金额: --
• 依托单位: Heriot-Watt University
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2021
• 资助国家: 英国
• 起止时间: 2021 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2616241
• 关键词: Higher; Structure; String; Theory

First we need to know what do we mean by higher structures.By structures, we may mean situations where there is a redundancy in our theory. To put it into other words, we are having more degrees of freedom as we should. The classic example of such a situation is Maxwell Theory of Light or more generally "Yang-Mills" theories. The standard model constructed by these theories has been the most successful theory physicist ever came up with.The result should be that Gauge Theories are the ones to describe our world.The correct mathematical description of a such a theory is particles are "transported" by the Theory. But now, with the introduction of String Theory, we believe that 0-dimensional objects are not the only objects of our universe. So the full theory of our universe must contain "Transport of Higher Objects". It is worth mentioning that higher versions come with very bigger redundancies that may go out of control.These concepts has already become successful in the way of formulating M-Theory (see arXiv:1903.02888 for example).The Mathematics of Higher Transport is not completely settled (see arXiv:1911.06390).It is surprising that physicist used to work with these things. Two areas of which are SuperGravity and Anomally Matching.Our main goal of study is to study in detail the (2.0) theory which describes interaction of M-2 branes with M-5 branes which has passed several consistency checks and deeper understanding may result in better understanding of full M-Theory which is unknown.

首先，我们需要知道我们所说的高级结构是指什么，所谓结构，我们可能指的是在我们的理论中存在冗余的情况。换句话说，我们应该有更多的自由度。这种情况的经典例子是麦克斯韦光理论或更一般的“杨-米尔斯”理论。由这些理论构建的标准模型是有史以来最成功的理论物理学家提出的。结果应该是规范理论是描述我们世界的理论。对这样一个理论的正确数学描述是粒子被该理论“运输”。但是现在，随着弦论的引入，我们相信0维物体不是我们宇宙中唯一的物体。因此，我们宇宙的完整理论必须包含“更高物体的运输”。值得一提的是，更高版本的模型会有更大的冗余，可能会失去控制。这些概念已经在制定M理论的过程中取得了成功（例如，参见arXiv：1903.02888）。高等运输的数学还没有完全解决（参见arXiv：1911.06390）。令人惊讶的是，物理学家曾经研究过这些东西。我们的主要研究目标是详细研究描述M-2膜与M-5膜相互作用的（2.0）理论，该理论已经通过了几次一致性检验，更深入的理解可能会导致更好地理解未知的完整M理论。