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

Abstract

We analyze the global symmetries of $\mathcal{N}=4$ supersymmetric mechanics involving $4n$-dimensional Quaternion-Kähler (QK) $1D$ sigma models on projective spaces $\mathbb{H}{\mathrm{H}}^n$ and $\mathbb{H}{\mathrm{P}}^n$ 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.

0 + 27 pages, essential revision: sections renumbered, sect. 2 extended, sect. 3.2, a new affiliation, refs. [1], [3], [13], [16-18], [22] and some clarifying comments added; published version

References in corpus (3)

• Noether's Second Theorem and Ward Identities for Gauge Symmetries
• Quaternion-Kähler N=4 Supersymmetric Mechanics
• D = 1 supergravity as a constrained system