AI 中文总结
该课程提供超对称场论跨维度速成，通过代表性计算阐述概念，重点讲解全纯性等反复出现的结构，而非单一维度理论分类，为识别相关基本设置提供通用语言。
AI 中文摘要
这些笔记提供了超对称场论的跨维度速成课程。目标是提供足够的通用语言，以识别演讲和论文中使用的基本设置，同时通过代表性计算使术语具体化。我们从超对称代数、多重态、受保护量、模空间、变形和反常开始，然后通过二到十个时空维度的例子来阐述这些概念。重点是反复出现的结构，如全纯性、超对称真空、对偶性、极值原理、指标、BPS数据和反常约束，而不是任何一个维度的理论分类。
英文摘要
These notes give a cross-dimensional crash course in supersymmetric field theory. The goal is to provide enough common language to recognize the basic setups used in talks and papers, while also working through representative computations that make the terminology concrete. We begin with supersymmetry algebras, multiplets, protected quantities, moduli spaces, deformations, and anomalies, then follow these ideas through examples in two to ten spacetime dimensions. The emphasis is on recurring structures, such as holomorphy, supersymmetric vacua, dualities, extremization principles, indices, BPS data, and anomaly constraints, rather than on a classification of theories in any one dimension.
CommentsLecture notes, 202 pages, 8 figures, 36 tables, ancillary Python code included; v2: expanded and updated bibliography and further-reading sections; corrected citations, notation, and minor errors; improved exposition and source notes
