论文标题
磁盘，间隔，点：关于具有全态动作功能的量子场理论的构造
Disk, interval, point: on constructions of quantum field theories with holomorphic action functionals
论文作者
论文摘要
具有全体形态作用功能的玻色量量子场理论是通过涉及超对称量子场理论的两种类型的结构来实现的，这些结构在一种类型的间隔上压实并在磁盘上压实并在另一个类型上被压缩。我们通过将磁盘和间隔减少到一个点来建立两种类型的构造之间的等效性。作为示例，我们讨论了零维测量的Sigma模型，测量量子力学，在两个维度上测量符号玻色子的结构，以及Chern-Simons理论及其更高维的变体。
Bosonic quantum field theories with holomorphic action functionals are realized by two types of constructions involving supersymmetric quantum field theories, compactified on an interval in one type and compactified on a disk and deformed in the other. We establish the equivalence between the two types of constructions by reducing the disk to the interval and the interval to a point. As examples, we discuss constructions of zero-dimensional gauged sigma model, gauged quantum mechanics, gauged symplectic bosons in two dimensions, and Chern-Simons theory and its higher-dimensional variants.
