Supersymmetric Quantum Field Theory: Indefinite Metric

TL;DR

This paper explores the mathematical structure of N=1 supersymmetry with indefinite metric, providing insights into physical applications beyond traditional path integral approaches.

Contribution

It introduces the Krein structure in N=1 supersymmetry and discusses potential physical applications and mathematical perspectives.

Findings

Krein structure applied to supersymmetry

Insights into physical applications outside path integrals

Mathematical perspectives on indefinite metric

Abstract

We study the recently introduced Krein structure (indefinite metric) of the N=1 supersymmetry and present the way into physical applications outside path integral methods. From the mathematical point of view some perspectives are mentioned at the end of the paper.