Momentum section on Courant algebroid and constrained Hamiltonian mechanics

JOURNAL OF GEOMETRY AND PHYSICS

卷:170

Article

Ikeda, Noriaki¹ 

[1] Ritsumeikan Univ, Dept Math Sci, Kusatsu, Shiga 5258577, Japan

关键词: Courant algebroid;    Momentum map;    Constrained Hamiltonian mechanics;    BFV and BV formalism;    Q-manifold and Weil algebra;   

DOI  :  10.1016/j.geomphys.2021.104350

来源: Elsevier

【 摘 要 】

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. (C) 2021 Elsevier B.V. All rights reserved.

【 授权许可】

Free