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Nilpotent tensor multiplet
We propose a nilpotent 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 supergravity.Comment: 17 pages; V2: references and appendix adde
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