N=8 supersymmetric mechanics on special K\"ahler manifolds

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Stefano Bellucci , Sergey Krivonos , Armen Nersessian This is my paper · ORCID

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keywords ahlermanifoldsmechanicsspecialsupersymmetricdimensionalhamiltonianmodel

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abstract

We propose the Hamiltonian model of ${\cal N}=8$ supersymmetric mechanics on $n-$dimensional special K\"ahler manifolds (of the rigid type).

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Geometry and integrability in $\mathcal{N}=8$ supersymmetric mechanics
hep-th 2019-08 conditional novelty 6.0 of 10

An N=8 supersymmetric mechanics with potential is built on rigid special Kähler manifolds, yielding bosonic Hamiltonians that include superintegrable deformations of the 2D oscillator and Coulomb problem.