Momentum section on Courant algebroid and constrained Hamiltonian mechanics

被引：5

作者：

Ikeda, Noriaki ^{[1
]}

机构：

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

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2021年 / 170卷

关键词：

Courant algebroid; Momentum map; Constrained Hamiltonian mechanics; BFV and BV formalism; Q-manifold and Weil algebra; FORMALISM; QUANTIZATION; INTEGRATION; SYSTEMS;

D O I：

10.1016/j.geomphys.2021.104350

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：20