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arxiv: hep-th/0407168 · v2 · submitted 2004-07-20 · ✦ hep-th · math-ph· math.MP

Non-trivial extension of the Poincar\'e algebra for antisymmetric gauge fields

classification ✦ hep-th math-phmath.MP
keywords algebraantisymmetricextensionfieldsnon-trivialpoincarsymmetryacts
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We investigate a non-trivial extension of the $D-$dimensional Poincar\'e algebra. Matrix representations are obtained. The bosonic multiplets contain antisymmetric tensor fields. It turns out that this symmetry acts in a natural geometric way on these $p-$forms. Some field theoretical aspects of this symmetry are studied and invariant Lagrangians are explicitly given.

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