论文标题
TASI关于弦二元数学数学的讲座
TASI Lectures on the Mathematics of String Dualities
论文作者
论文摘要
在这些讲座的会议记录中,我们描述了超对称弦理论和现场理论的基础的一些基本数学概念及其在描述和测试二元性中的作用。特别是,我们提供了拓扑和全态扭曲,下降和更高代数结构的教学介绍。我们的主要例子是拓扑字符串的世界表格理论,即A-和B模型,我们简要审查。这些程序是基于第二作者在TASI 2021上发表的讲座。
In these lecture proceedings, we describe some of the fundamental mathematical concepts that underlie supersymmetric string theory and field theory, and their role in describing and testing dualities. In particular, we provide a pedagogical introduction to topological and holomorphic twisting, descent, and higher algebraic structures. Our primary examples are worldsheet theories of topological strings, namely the A- and B-models, which we briefly review. These proceedings are based on lectures given by the second author at TASI 2021.