Non-trivial extension of the Poincaré algebra for antisymmetric gauge fields

Physics – High Energy Physics – High Energy Physics - Theory

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LaTeX, 13 pages, contribution to the XI-th International Conference Symmetry Methods in Physics, Prague, June 21-24, 2004, pre

Scientific paper

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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