New Calabi-Yau Geometries in String Theory and Supersymmetry

自从第一次超弦革命以来，弦理论已经看到了从物理到数学再回来的思想自由流动。 它的未来取决于扩大这种界面，将想法和人聚集在一起。 我的工作为新兴物理学建立了一个关键框架，采用高度结构化的物理系统，并使用几何语言来约束，分类和发展物理理论。 理论粒子物理学和数学的研究通常福尔斯两类，一类侧重于特定的物理问题，包括弦现象学和超对称性在对撞机物理学中的应用。 第二类是数学家，他们深受理论粒子物理学及其结构和方法的启发，特别是弦理论和超对称场论。 我的研究通过研究弦的对偶性和超对称性，以及卡-丘几何所起的关键作用，将这些群体聚集在一起。

Since the first superstring revolution, string theory has seen a free flow of ideas from physics to mathematics and back again. Its future depends on expanding this interface, bringing together ideas as well as people. My work sets up a key framework for new and emerging physics, taking highly structured physical systems and using the language of geometry to constrain, classify, and evolve physical theories. Research at the interface of theoretical particle physics and mathematics generally falls into two categories, one whose focus is on specific physical questions, including string phenomenology and supersymmetry applications to collider physics. The second category involves mathematicians strongly inspired by theoretical particle physics, its structures and methods, and especially string theory and supersymmetric field theory. My research brings these groups together by studying string dualities and supersymmetry, and the critical role played by Calabi-Yau geometry.