Momentum Sections in Hamiltonian Mechanics and Sigma Models

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Author: Ikeda, N.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210312
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Momentum Sections in Hamiltonian Mechanics and Sigma Models / N. Ikeda // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 27 назв. — англ.

We show that 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 gauge...