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.

Keywords

• Field Theories in Lower Dimensions
• Extended Supersymmetry
• Sigma Mod- els