Field Space Geometry and Nonlinear Supersymmetry

TL;DR

This paper introduces a geometric framework for effective field theories using nonlinear supersymmetry, embedding particles in constrained superfields and employing sigma models to unify scalar and fermion treatments.

Contribution

It presents a novel geometric formulation of effective field theories with nonlinear supersymmetry, emphasizing the use of constrained superfields and jet bundle extensions for invariance.

Findings

Unified treatment of scalars and fermions via chiral superfields

Manifest invariance under derivative field redefinitions

Geometric interpretation of operators as potentials on target space

Abstract

We propose a geometric formulation of effective field theories via nonlinear supersymmetry. Non-supersymmetric particles are embedded in constrained superfields governed by a nonlinear sigma model, and operators are collected into potentials on the target space. The use of chiral superfields standardizes the treatment of flavor across scalars and fermions, and the minimal jet bundle extension makes invariance under derivative field redefinitions manifest.