Momentum sections in Hamiltonian mechanics and sigma models
Mathematical Physics
2019-10-04 v4 High Energy Physics - Theory
Differential Geometry
math.MP
Symplectic Geometry
Abstract
We show a constrained Hamiltonian system and a gauged sigma model have a structure of a momentum section and a Hamiltonian Lie algebroid theory recently introduced by Blohmann and Weinstein. We propose a generalization of a momentum section on a pre-multisymplectic manifold by considering gauged sigma models on a higher dimensional manifold.
Keywords
Cite
@article{arxiv.1905.02434,
title = {Momentum sections in Hamiltonian mechanics and sigma models},
author = {Noriaki Ikeda},
journal= {arXiv preprint arXiv:1905.02434},
year = {2019}
}
Comments
16 pages, published version