Momentum sections in Hamiltonian mechanics and sigma models

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.

16 pages, published version

References in corpus (4)

• Beyond the standard gauging: gauge symmetries of Dirac Sigma Models
• Hidden isometry of "T-duality without isometry"
• Gauging as constraining: the universal generalised geometry action in two dimensions
• Lie Algebroid Gauging of Non-linear Sigma Models

Cited by in corpus (5)

• Momentum section on Courant algebroid and constrained Hamiltonian mechanics
• Homotopy momentum sections on multisymplectic manifolds
• Comomentum sections and Poisson maps in Hamiltonian Lie algebroids
• Higher dimensional Lie algebroid sigma model with WZ term
• Compatible $E$-Differential Forms on Lie Algebroids over (Pre-)Multisymplectic Manifolds