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

A. J. Niemi; K. Palo

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arXiv · hep-th/9412023

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

A. J. Niemi·K. Palo

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Abstract

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.

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A. J. Niemi, K. Palo. 1995-03-13. On the Characterization of Classical Dynamical Systems Using Supersymmetric Nonlinear $σ$-models. https://arxiv.org/abs/hep-th/9412023

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