New nilpotent N=2 superfields

Sergei M Kuzenko,Gabriele Tartaglino-Mazzucchelli

doi:10.1103/physrevd.97.026003

Sergei M Kuzenko, Gabriele Tartaglino-Mazzucchelli

Open Access

https://doi.org/10.1103/physrevd.97.026003

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Journal: Physical Review D	Publication Date: Jan 8, 2018
Citations: 51	License type: CC BY 4.0

Affiliation: University of Western Australia, KU Leuven

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.

Highlights

In the last three years, there has been much interest in offshell models for spontaneously broken N 1⁄4 1 supergravity; see [1,2,3,4,5,6,7,8,9,10] and references therein
We propose new off-shell models for spontaneously broken local N 1⁄4 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
Every irreducible N 1⁄4 2 Goldstino superfield contains only two independent component fields, the spin-1=2 Goldstone fermions [13,14], while the other component fields are composites constructed from the Goldstini

Summary

INTRODUCTION

In the last three years, there has been much interest in offshell models for spontaneously broken N 1⁄4 1 supergravity; see [1,2,3,4,5,6,7,8,9,10] and references therein. In this paper we propose new models for spontaneously broken N 1⁄4 2 supergravity in which the Goldstini belong to nilpotent superfields containing either a gauge one-form or a gauge two-form among its independent physical fields. This is achieved by relaxing the constraints obeyed by the Goldstino superfields introduced in [10,15]. Our second example is the irreducible Goldstino superfield introduced in [8] It is described by a real scalar N 1⁄4 1 superfield V subject to the nilpotency constraints. Appendix B provides a solution to the nilpotency condition (3.2) in the flat case using the harmonic superspace techniques

NILPOTENT CHIRAL SUPERFIELD

NILPOTENT TWISTED CHIRAL SUPERFIELDS