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

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

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Abstract We propose a nilpotent N=1 $$ mathcal{N}=1 $$ tensor multiplet bostik universal primer pro 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 $$ apunisw2 mathcal{N}=1 $$ supergravity.