New nilpotent ${\cal N}= 2$ superfields

TL;DR

This paper introduces new off-shell models for spontaneously broken local ${ m N}=2$ supersymmetry involving nilpotent superfields with gauge forms, advancing the understanding of supersymmetry breaking mechanisms.

Contribution

It presents novel off-shell supergravity models with nilpotent superfields containing gauge forms, and develops a nilpotent ${ m N}=2$ superfield framework related to cubic nilpotency conditions.

Findings

New off-shell supergravity models with nilpotent superfields

Construction of a nilpotent ${ m N}=2$ superfield with cubic nilpotency

Extension of twisted chiral superfields in ${ m N}=2$ supersymmetry

Abstract

We propose new off-shell models for spontaneously broken local ${\cal N}=2$ supersymmetry, in which the supergravity multiplet couples to nilpotent Goldstino superfields that contain either a gauge one-form or a gauge two-form in addition to spin-1/2 Goldstone fermions and auxiliary fields. In the case of ${\cal N}=2$ Poincar\'e supersymmetry, we elaborate on the concept of twisted chiral superfields and present a nilpotent ${\cal N}=2$ superfield that underlies the cubic nilpotency conditions given in arXiv:1707.03414 in terms of constrained ${\cal N}=1$ superfields.