Hamiltonian N=2 Superfield Quantization

TL;DR

This paper introduces a superfield approach to Hamiltonian quantization with N=2 supersymmetry, deriving a localized path integral from fermionic objects that act as 'square roots' of the classical action.

Contribution

It provides a novel superfield construction for N=2 Hamiltonian quantization and connects fermionic objects to classical action localization.

Findings

Superfield formulation of N=2 Hamiltonian quantization.

Derivation of a classically localized path integral.

Identification of fermionic objects as 'square roots' of the classical action.

Abstract

We present a superfield construction of Hamiltonian quantization with N=2 supersymmetry generated by two fermionic charges Q^a. As a byproduct of the analysis we also derive a classically localized path integral from two fermionic objects \Sigma^a that can be viewed as ``square roots'' of the classical bosonic action under the product of a functional Poisson bracket.