Chiral Tensors of Mixed Young Symmetry

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.

arXiv commentExpanded version with 3 appendices providing explicit proofs of central results

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