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Goldstino superfields for spontaneously broken \( \mathcal{N} = 2 \) supersymmetry

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Abstract

We examine spontaneously broken \( \mathcal{N} = 2 \) 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 \( \mathcal{N} = 2 \) superspace. Making use of a special choice of coset parametrization allows us to develop a version of nonlinearly realized \( \mathcal{N} = 2 \) 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 \( \mathcal{N} = 2 \) superspace. We show how to generate matter couplings of the Goldstinos to supersymmetric matter using the \( \mathcal{N} = 2 \) harmonic, projective and full superspaces. As a bi-product of our consideration, we also derive an \( \mathcal{N} = 2 \) chiral Goldstino action.

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Authors and Affiliations

  1. School of Physics, M013, The University of Western Australia, 35 Stirling Highway, Crawley, W.A. 6009, Australia

    S. M. Kuzenko & I. N. McArthur

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  1. S. M. Kuzenko
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  2. I. N. McArthur
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Correspondence to I. N. McArthur.

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Kuzenko, S.M., McArthur, I.N. Goldstino superfields for spontaneously broken \( \mathcal{N} = 2 \) supersymmetry. J. High Energ. Phys. 2011, 133 (2011). https://doi.org/10.1007/JHEP06(2011)133

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