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Momentum section on Courant algebroid and constrained Hamiltonian mechanics
Journal of Geometry and Physics ( IF 1.6 ) Pub Date : 2021-08-23 , DOI: 10.1016/j.geomphys.2021.104350
Noriaki Ikeda 1
Affiliation  

We propose a generalization of the momentum map on a symplectic manifold with a Lie algebra action to a Courant algebroid structure. The theory of a momentum section on a Lie algebroid is generalized to the theory compatible with a Courant algebroid. As an example, we identify the momentum section in a constrained Hamiltonian mechanics with Courant algebroid symmetry. Moreover, we construct cohomological formulations by considering the BFV and BV formalism of this Hamiltonian system. The Weil algebra for this structure is constructed.



中文翻译:

Courant 代数和约束哈密顿力学的动量部分

我们建议将具有李代数作用的辛流形上的动量图推广到 Courant 代数结构。Lie 代数体上的动量截面理论被推广到与 Courant 代数体兼容的理论。作为一个例子,我们确定了具有 Courant 代数对称性的约束哈密顿力学中的动量部分。此外,我们通过考虑这个哈密顿系统的 BFV 和 BV 形式来构建上同调公式。构造此结构的 Weil 代数。

更新日期:2021-09-09
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