Nilpotent chiral superfield in N=2 supergravity and partial rigid supersymmetry breaking

TL;DR

This paper introduces a nilpotent chiral superfield within N=2 supergravity to model partial supersymmetry breaking, constructing specific Maxwell-Goldstone actions in various curved backgrounds, emphasizing U(1) duality invariance.

Contribution

It develops a new nilpotent chiral superfield framework for partial supersymmetry breaking in N=2 supergravity and constructs associated Maxwell-Goldstone actions in curved spacetimes.

Findings

Constructed Maxwell-Goldstone multiplet actions for partial N=2 to N=1 supersymmetry breaking.

Actions match curved-superspace extensions of N=1 supersymmetric Born-Infeld theory.

Actions are uniquely determined by U(1) duality invariance.

Abstract

In the framework of N=2 conformal supergravity in four dimensions, we introduce a nilpotent chiral superfield suitable for the description of partial supersymmetry breaking in maximally supersymmetric spacetimes. As an application, we construct Maxwell-Goldstone multiplet actions for partial N=2 --> N=1 supersymmetry breaking on R x S^3, AdS_3 x S^1 (or its covering AdS_3 x R), and a pp-wave spacetime. In each of these cases, the action coincides with a unique curved-superspace extension of the N=1 supersymmetric Born-Infeld action, which is singled out by the requirement of U(1) duality invariance.