On the Characterization of Classical Dynamical Systems Using Supersymmetric Nonlinear $σ$-models
Abstract
Description
We construct a two dimensional nonlinear $σ$-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 $σ$-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.
essentially revised, 18 pages, latex (run twice)
essentially revised, 18 pages, latex (run twice)