Journal of High Energy Physics (Jan 2021)
Global symmetries of Quaternion-Kähler N $$ \mathcal{N} $$ = 4 supersymmetric mechanics
Abstract
Abstract We analyze the global symmetries of N $$ \mathcal{N} $$ = 4 supersymmetric mechanics in- volving 4n-dimensional Quaternion-Kähler (QK) 1D 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.
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