Momentum Sections in Hamiltonian Mechanics and Sigma Models

Symmetry Integrability and Geometry-Methods and Applications

article

Noriaki Ikeda¹ 

[1] Department of Mathematical Sciences, Ritsumeikan University

关键词: symplectic geometry;    Lie algebroid;    Hamiltonian mechanics;    nonlinear sigma model;   

DOI  :  10.3842/SIGMA.2019.076

来源: National Academy of Science of Ukraine

【 摘 要 】

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 higher-dimensional manifolds.

【 授权许可】

Unknown