Quantum field components of supersymmetric multiplets

TL;DR

This paper explores Fock space representations of supersymmetric multiplet components, focusing on positivity and causality, and applies these findings to the causal approach in supersymmetric quantum field theory.

Contribution

It introduces new Fock space representations for scalar and Majorana components within supersymmetric multiplets, emphasizing axiomatic and causal quantum field theory frameworks.

Findings

Multiple Fock space representations are constructed.

Application to supersymmetric Epstein-Glaser method demonstrated.

Ensures positivity and causality in supersymmetric field representations.

Abstract

We adress the problem of Fock space representations of (free) multiplet component fiels encountered in supersymmetric quantum field theory insisting on positivity and causality. We look in detail on the scalar and Majorana components of the chiral supersymmetric multiplet. Several Fock space representations are introduced. The last section contains a short application to the supersymmetric Epstein-Glaser method. The present paper is written in the vane of axiomatic quantum field theory with applications to the causal approach to supersymmetry.