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arXiv · 2007.12985

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

Evgeny Ivanov·Luca Mezincescu
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Abstract

We analyze the global symmetries of ${\cal N}=4$ supersymmetric mechanics involving $4n$-dimensional Quaternion-K\"ahler (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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Evgeny Ivanov, Luca Mezincescu. 2020-07-25. Global Symmetries of Quaternion-K$\bf \ddot{a}$hler ${\cal N}=4$ Supersymmetric Mechanics. https://doi.org/10.1007/jhep01(2021)081

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