Goldstino superfields in AdS_4

TL;DR

This paper extends the construction of Goldstino superfields from flat space to AdS_4, enabling better understanding of supersymmetry breaking and its couplings in curved backgrounds.

Contribution

It introduces a method to construct Goldstino superfields in AdS_4 for N=1 and N=2 supersymmetry, generalizing flat space results.

Findings

Constructed Goldstino superfields in AdS_4 for N=1 and N=2

Derived supersymmetry transformation rules in curved backgrounds

Facilitated supersymmetric component action computations in AdS_4

Abstract

Spontaneous breaking of global supersymmetries results in Goldstino fields which provide a nonlinear realisation of the supersymmetry algebra. A finite supersymmetry transformation of a Goldstino field can be used to generate a superfield whose components provide a linear realisation of the supersymmetry algebra. This construction also automatically determines the action of the algebra of supercovariant derivatives on Goldstino superfields, essential to the efficient computation of manifestly supersymmetric component actions for the Goldstinos, including coupling to matter fields. In this paper, we extend known constructions of Goldstino superfields resulting from spontaneous breaking of supersymmetry in flat four-dimensional N =1 superspace to spontaneous breaking of N =1 and N =2 supersymmetry in AdS_4.