Nilpotent $\mathcal{N}=1$ tensor multiplet

Abstract

We propose a nilpotent $\mathcal{N}=1$ tensor multiplet describing two fields, which are the Goldstino and the axion, the latter being realised in terms of the field strength of a gauge two-form. This supersymmetric multiplet is formulated in terms of a deformed real linear superfield, subject to a cubic nilpotency condition. Its couplings to a super Yang-Mills multiplet and supergravity are presented. To define a nilpotent tensor multiplet in the locally supersymmetric case, one has to make use of either real or complex three-form supergravity theories, which are variant realisations of the old minimal formulation for $\mathcal{N}=1$ supergravity.

17 pages; V2: references and appendix added

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• From Linear SUSY to Constrained Superfields
• Cosmology with Nilpotent Superfields
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• On sgoldstino-less supergravity models of inflation
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• Nilpotent superfields for broken abelian symmetries
• Causality constraints on nonlinear supersymmetry
• Constrained Superfields in Dynamical Background
• Complex Linear Multiplets and Local Supersymmetry Breaking
• On the F-term problem and quintessence supersymmetry breaking