Decoupling of Zero-Modes and Covariance in the Light-Front Formulation of Supersymmetric Theories

TL;DR

This paper demonstrates that zero-modes can be decoupled from non-zero modes in light-front supersymmetric theories, with implications for Lorentz invariance, under certain assumptions.

Contribution

It provides a theoretical analysis showing zero-modes decouple in light-front formulations of supersymmetric theories, clarifying their role and impact on Lorentz invariance.

Findings

Zero-modes decouple from non-zero modes under certain assumptions

Implications for Lorentz invariance are discussed

Provides a framework for understanding zero-modes in light-front supersymmetry

Abstract

We show under suitable assumptions that zero-modes decouple from the dynamics of non-zero modes in the light-front formulation of some supersymmetric field theories. The implications for Lorentz invariance are discussed.