Homotopy momentum sections on multisymplectic manifolds

Abstract

We introduce a notion of a homotopy momentum section on a Lie algebroid over a pre-multisymplectic manifold. A homotopy momentum section is a generalization of the momentum map with a Lie group action and the momentum section on a pre-symplectic manifold, and is also regarded as a generalization of the homotopy momentum map on a multisymplectic manifold. We show that a gauged nonlinear sigma model with Wess-Zumino term with Lie algebroid gauging has the homotopy momentum section structure.

32pages

References in corpus (5)

• Lectures on Integrability of Lie Brackets
• Lie Algebroid Yang Mills with Matter Fields
• Beyond the standard gauging: gauge symmetries of Dirac Sigma Models
• Momentum section on Courant algebroid and constrained Hamiltonian mechanics
• Gauging as constraining: the universal generalised geometry action in two dimensions

Cited by in corpus (2)

• Comomentum sections and Poisson maps in Hamiltonian Lie algebroids
• Compatible $E$-Differential Forms on Lie Algebroids over (Pre-)Multisymplectic Manifolds