Cubic supersymmetry and abelian gauge invariance

Abstract

On the basis of recent results extending non-trivially the Poincaré symmetry, we investigate the properties of bosonic multiplets including $2-$form gauge fields. Invariant free Lagrangians are explicitly built which involve possibly $3-$ and $4-$form fields. We also study in detail the interplay between this symmetry and a U(1) gauge symmetry, and in particular the implications of the automatic gauge-fixing of the latter associated to a residual gauge invariance, as well as the absence of self-interaction terms.

LaTeX, 27 pages

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• Parafermions for higher order extensions of the Poincaré algebra and their associated superspace
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• Some Results on Cubic and Higher Order Extensions of the Poincaré Algebra
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• Unexpected Features of Supersymmetry with Central Charges
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