We analyze the global symmetries of N $$ \mathcal{N} $$ = 4 supersymmetric mechanics in- volving 4 n -dimensional Quaternion-Kähler (QK) 1 D sigma models on projective spaces ℍH n and ℍP n as the bosonic core. All Noether charges associated with global worldline symmetries are shown to vanish as a result of equations of motion, which implies that we deal with a severely constrained hamiltonian system. The complete hamiltonian analysis of the bosonic sector is performed.

中文翻译：

---

Quaternion-Kähler 的全局对称性 $$ \mathcal{N} $$ = 4 超对称力学

我们分析了 N $$ \mathcal{N} $$ = 4 超对称力学的全局对称性，涉及 4 n 维 Quaternion-Kähler (QK) 1 D sigma 模型，投影空间ℍH n 和 ℍP n 作为玻色核。所有与全球世界线对称性相关的诺特电荷都显示为运动方程的结果，这意味着我们处理的是一个严格约束的汉密尔顿系统。执行了玻色扇区的完整汉密尔顿分析。