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arXiv · 1612.02772

Chiral Tensors of Mixed Young Symmetry

Marc Henneaux·Victor Lekeu·Amaury Leonard
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Abstract

Chiral tensors of mixed Young symmetry, which exist in the same spacetime dimensions $2 + 4n$ where chiral $p$-forms can be defined, are investigated. Such chiral tensors have been argued to play a central role in exotic formulations of gravity in 6 dimensions and possess intriguing properties. A variational principle that yields the chiral equations of motion is explicitly constructed and related to the action for a non-chiral tensor. The use of prepotentials turns out to be essential in our analysis. We also comment on dimensional reduction.

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Marc Henneaux, Victor Lekeu, Amaury Leonard. 2016-12-08. Chiral Tensors of Mixed Young Symmetry. https://doi.org/10.1103/physrevd.95.084040

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