Orthogonal Nilpotent Superfields from Linear Models

TL;DR

This paper derives models with constrained orthogonal nilpotent superfields from linear supersymmetry models by taking certain mass limits, revealing different constraint regimes and their geometric interpretations.

Contribution

It introduces a method to obtain constrained superfield models from linear models via mass limit procedures, including relaxed constraints with finite sinflaton mass.

Findings

Models with orthogonal nilpotent superfields are derived from linear models.

Different constraints emerge depending on the mass limits of component fields.

The geometric interpretation involves curvature components of the moduli space.

Abstract

We derive supersymmetry/supergravity models with constrained orthogonal nilpotent superfields from the linear models in the formal limit where the masses of the sgoldstino, inflatino and sinflaton tend to infinity. The case where the sinflaton mass remains finite leads to a model with a `relaxed' constraint, where the sinflaton remains an independent field. Our procedure is equivalent to a requirement that some of the components of the curvature of the moduli space tend to infinity.