N = 4 Superfiel Phase Space Coordinates and Hamiltonian Quantization

TL;DR

This paper develops a Hamiltonian quantization framework for N=4 superfield phase space coordinates using harmonic superspace, providing explicit classical equations of motion and supersymmetric actions.

Contribution

It introduces a novel Hamiltonian quantization approach for N=4 supersymmetric systems within harmonic superspace, detailing the phase space coordinates and equations of motion.

Findings

Explicit N=4 classical equations of motion derived

Supersymmetric actions constructed via fermionic and harmonic functionals

Hamiltonian quantization performed in harmonic subspace

Abstract

The N = 4 superfield phase space coordinates are given in the harmonic superspace. The expressions of the N = 4 classical equations of motion are determined in terms of the spinorial and harmonic supercharges. Furthermore, the N = 4 supersymmetric actions are obtained by means of the fermionic and harmonic functionals. On the other hand, the Hamiltonian quantization is studied by performing the N = 4 supersymmetric action in harmonic subspace in terms of analytic N = 4 superfield phase space coordinates.