论文标题

quaternion-k $ \ bf \ ddot {a} $ hler $ {\ cal n} = 4 $ supersymmetric机制的全局对称性

Global Symmetries of Quaternion-K$\bf \ddot{a}$hler ${\cal N}=4$ Supersymmetric Mechanics

论文作者

Ivanov, Evgeny, Mezincescu, Luca

论文摘要

我们分析了$ {\ cal n} = 4 $ supersymmetric机制的全局对称性,涉及$ 4N $ - 二维quaternion-kähler(qk)$ 1D $ sigma模型$ \ m artbbbb {h Mathbb {h} 核。由于运动方程式,与全球世界对称性相关的所有NOETHE指控都消失了,这意味着我们处理了严格的哈密顿制度。进行了对骨骼部门的完整哈密顿分析。

We analyze the global symmetries of ${\cal N}=4$ supersymmetric mechanics involving $4n$-dimensional Quaternion-Kähler (QK) $1D$ sigma models on projective spaces $\mathbb{H}{\rm H}^n$ and $\mathbb{H}{\rm P}^n$ 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.

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