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

TL;DR

This paper introduces a Hamiltonian model for ${ m N}=8$ supersymmetric mechanics formulated on special K"ahler manifolds, expanding the understanding of supersymmetric systems in complex geometric settings.

Contribution

The work presents the first Hamiltonian formulation of ${ m N}=8$ supersymmetric mechanics on special K"ahler manifolds, a novel geometric framework for such models.

Findings

Constructed the Hamiltonian model explicitly

Demonstrated supersymmetry invariance on special K"ahler manifolds

Provided insights into geometric structures supporting supersymmetry

Abstract

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