Goldstone Superfield Actions in AdS5 backgrounds

TL;DR

This paper develops superfield actions for partially broken N=1 supersymmetry in AdS5 backgrounds, extending flat space techniques to curved spaces and describing brane dynamics via Goldstone supermultiplets.

Contribution

It generalizes nonlinear realization superfield techniques to AdS5 backgrounds and constructs explicit off-shell Goldstone superfield actions for partial supersymmetry breaking.

Findings

Constructed off-shell N=1 supersymmetric Goldstone actions for AdS5 backgrounds.

Derived dual formulations of Goldstone supermultiplets, including tensor and chiral types.

Obtained bosonic sectors as Nambu-Goto actions for branes in AdS5 and AdS5×S1.

Abstract

Nonlinear realizations superfield techniques, pertinent to the description of partial breaking of global N=2 supersymmetry in a flat d=4 super Minkowski background, are generalized to the case of partially broken N=1 AdS5 supersymmetry SU(2,2|1). We present, in an explicit form, off-shell manifestly N=1, d=4 supersymmetric minimal Goldstone superfield actions for two patterns of partial breaking of SU(2,2|1) supersymmetry. They correspond to two different nonlinear realizations of the latter, in the supercosets with the AdS5 and AdS5\times S1 bosonic parts. The relevant worldvolume Goldstone supermultiplets are accommodated, respectively, by improved tensor and chiral N=1, d=4 superfields. The second action is obtained from the first one by dualizing the improved tensor Goldstone multiplet into a chiral Goldstone one. In the bosonic sectors, the first and second actions yield static-gauge Nambu-Goto actions for a L3-brane on AdS5 and a scalar 3-brane on AdS5\times S1.