Obtaining heterotic string theories via orbifold compactification of M-theory at the level of fully non-abelian actions for multiple M2-branes.

我工作的更广泛的主题是M理论，以及多膜理论。我的第一个项目的起点是我的导师Neil Lambert的一些工作的延续，从2015年开始，关于在多个M2-膜理论（ABJM理论）的背景下从M理论获得HE弦理论（Lambert，2015）。对这部作品的分析使我熟悉了这一理论及其解释，也开辟了一些新的讨论途径。未来的主要主题是发现GSO投影和世界片自旋结构的想法是如何在M理论中出现的，因为这些想法是区分HE和非超对称SO（16）xSO（16）杂合弦的关键（Alvarez-Gaume et al.，1986年），以及类型II和类型0字符串之间。特别是，如果有一种直接而整洁的方法，可以在M理论中找到SO（16）xSO（16）理论，就像现有的在M理论中找到0型理论的工作一样，这将是很有趣的。另一个潜在的未来项目涉及五维规范理论中的瞬变算符。

The broader topic of my work is M-theory, and theories of multiple membranes. The starting point of my first project was the continuation of some work of my supervisor, Neil Lambert, from 2015 concerning obtaining the HE string theory from M-theory in the context of a theory of multiple M2-branes (ABJM theory) (Lambert, 2015). Analysis of this work made me familiar with the theory and its interpretation, and also opened some new avenues of discussion. The main topic going forward is to discover how the ideas of GSO projections and worldsheet spin structures arise in M-theory, since these ideas are key to differentiating between The HE and the non-supersymmetric SO(16)xSO(16) heterotic strings (Alvarez-Gaume et al., 1986), and also between the Type II and Type 0 strings. In particular, it would be interesting to see if there is a straightforward and tidy way in which to find the SO(16)xSO(16) theory within M-theory, in analogy with existing work finding the Type 0 theories in M-theory.Another potential future project involves instant operators in five-dimensional gauge theories.