# Homotopy momentum section on multisymplectic manifold

@inproceedings{Hirota2021HomotopyMS, title={Homotopy momentum section on multisymplectic manifold}, author={Yuji Hirota and Noriaki Ikeda}, year={2021} }

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 WessZumino term with Lie algebroid gauging has the homotopy momentum section structure. E…

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