标题： 关于用超对称非线性$σ$-模型刻画经典动力学系统 显示英文标题

标题： On the Characterization of Classical Dynamical Systems Using Supersymmetric Nonlinear $σ$-models

摘要： 我们构建了一个二维非线性$\sigma$-模型，用于描述经典动力学系统的环路空间中的哈密顿流。该模型通过哈密顿流对标准的 \$N = 1\$ 超对称非线性$\sigma$-模型进行等变化得到。我们利用局域化方法计算了一般可积系统对应的配分函数，并发现了可以看作是经典莫尔斯理论中标准关系推广的关系。 显示英文摘要

摘要： We construct a two dimensional nonlinear $\sigma$-model that describes the Hamiltonian flow in the loop space of a classical dynamical system. This model is obtained by equivariantizing the standard N=1 supersymmetric nonlinear $\sigma$-model by the Hamiltonian flow. We use localization methods to evaluate the corresponding partition function for a general class of integrable systems, and find relations that can be viewed as generalizations of standard relations in classical Morse theory.