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Springer Verlag (Germany), Journal of High Energy Physics, 05(2005), p. 012-012

DOI: 10.1088/1126-6708/2005/05/012

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On the component structure of Script N = 1 supersymmetric nonlinear electrodynamics

Journal article published in 2005 by Sergei M. Kuzenko, Shane A. McCarthy ORCID
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

We analyze the component structure of models for 4D 𝒩 = 1 supersymmetric nonlinear electrodynamics that enjoy invariance under continuous duality rotations. The 𝒩 = 1 supersymmetric Born-Infeld action is a member of this family. Such dynamical systems have a more complicated structure, especially in the presence of supergravity, as compared with well-studied effective supersymmetric theories containing at most two derivatives (including nonlinear Kähler sigma-models). As a result, when deriving their canonically normalized component actions, it becomes impractical and cumbersome to follow the traditional approach of (i) reducing to components; and then (ii) applying a field-dependent Weyl and local chiral transformation. It proves to be more efficient to follow the Kugo-Uehara scheme which consists of (i) extending the superfield theory to a super-Weyl invariant system; and then (ii) applying a plain component reduction along with imposing a suitable super-Weyl gauge condition. Here we implement this scheme to derive the bosonic action of self-dual supersymmetric electrodynamics coupled to the dilaton-axion chiral multiplet and a Kähler sigma-model. In the fermionic sector, the action contains higher derivative terms. In the globally supersymmetric case, a nonlinear field redefinition is explicitly constructed which eliminates all the higher derivative terms and brings the fermionic action to a one-parameter deformation of the Akulov-Volkov action for the Goldstino. The Akulov-Volkov action emerges, in particular, in the case of the 𝒩 = 1 supersymmetric Born-Infeld action.