Physical coordinates as dynamic variables for the superparticle from its geometrical action

TL;DR

This paper reformulates superparticle actions in superspace using physical coordinates as dynamic variables, enabling non-zero Hamiltonian evolution and discussing local kappa-symmetry.

Contribution

It introduces a novel formulation of superparticle actions by treating physical coordinates as dynamic variables, providing new insights into their Hamiltonian structure.

Findings

Reformulation of superparticle actions in terms of physical coordinates.

Identification of these coordinates with dynamic variables.

Discussion of local kappa-symmetry in this framework.

Abstract

We show that the particle actions in the superspace that are invariant with respect to general covariance transformations can be formulated in terms of physical coordinates with non zero evolution Hamiltonians by identifying these coordinates with some dynamic variables. The local kappa -symmetry for superparticle actions in this formulation is briefly discussed.