Goldstino superfields for spontaneously broken N=2 supersymmetry

Abstract

We examine spontaneously broken N=2 supersymmetry in four dimensions and associate a spinor superfield with each Goldstino via a finite supersymmetry transformation with parameters that are the Grassmann coordinates of N=2 superspace. Making use of a special choice of coset parametrization allows us to develop a version of nonlinearly realized N=2 supersymmetry for which the associated Goldstino superfields are defined on harmonic superspace, thereby providing a natural mechanism for construction of a Goldstino action. The corresponding superfield Lagrangian is an O(4) multiplet. This property is used to reformulate the Goldstino action in projective superspace and in conventional N=2 superspace. We show how to generate matter couplings of the Goldstinos to supersymmetric matter using the N=2 harmonic, projective and full superspaces. As a bi-product of our consideration, we also derive an N=2 chiral Goldstino action.

20 pages, typos corrected, comments added

References in corpus (2)

• On the Goldstino actions and their symmetries
• Complex linear superfield as a model for Goldstino

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• Superspace Higher Derivative Terms in Two Dimensions
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• Behaviors of two supersymmetry breaking scales in $\mathcal{N}=2$ supergravity
• ALP Constraints in Gauged $\mathcal{N}=2$ Supergravity