标题： 使用超对称非线性$σ$-模型表征经典动力系统 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，该模型描述了经典动力系统环路空间中的哈密顿流。 该模型是通过将标准的 N=1 超对称非线性$\sigma$模型由哈密顿流进行等变化得到的。 我们使用局部化方法来计算一类广义可积系统的相应配分函数，并发现可以看作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.