标题： M理论中的高阶结构讲座 显示英文标题

标题： Lectures on Higher Structures in M-Theory

摘要： 这些是关于M理论中高阶结构的四次讲座笔记，这些讲座是在埃文·薛定谔研究所和东北大学的研讨会上提出的。 第一次讲座概述了多个M5膜系统，并介绍了高阶规范理论局部描述的相关数学结构。 第二次讲座我们发展了相应的全局图景。 第三次讲座讨论了使用扭量空间在六维中构造非阿贝尔超共形规范理论的方法。 最后一次讲座涉及高阶量子化问题及其与环空间的关系。 附录总结了3-李代数与李2-代数之间的关系。 显示英文摘要

摘要： These are notes for four lectures on higher structures in M-theory as presented at workshops at the Erwin Schroedinger Institute and Tohoku University. The first lecture gives an overview of systems of multiple M5-branes and introduces the relevant mathematical structures underlying a local description of higher gauge theory. In the second lecture, we develop the corresponding global picture. A construction of non-abelian superconformal gauge theories in six dimensions using twistor spaces is discussed in the third lecture. The last lecture deals with the problem of higher quantization and its relation to loop space. An appendix summarizes the relation between 3-Lie algebras and Lie 2-algebras.