Nilpotent superfields for broken abelian symmetries

TL;DR

This paper introduces new solutions to cubic constraints on chiral superfields with abelian symmetries, modeling goldstino-axion interactions with non-linear supersymmetry, and relates to existing orthogonal nilpotent superfield approaches.

Contribution

It provides novel solutions to cubic constraints on superfields, advancing the understanding of goldstino-axion dynamics in supersymmetric theories.

Findings

New solutions to cubic constraints on superfields

Connection established with orthogonal nilpotent superfield approach

Enhanced modeling of goldstino-axion interactions

Abstract

We find new solutions to real cubic constraints on $N=1$ chiral superfields transforming under global abelian symmetries. These solutions describe the low-energy dynamics of a goldstino interacting with an axion (both belonging to the same chiral superfield) with non-linearly realized supersymmetry. We show the relation between our model and the approach of Komargodski and Seiberg for describing goldstino-axion dynamics which uses orthogonal nilpotent superfields.