Nilpotent N=1{\cal N}=1 tensor multiplet


We propose a nilpotent N=1{\cal 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 N=1{\cal N}=1 supergravity.Comment: 17 pages; V2: references and appendix adde

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