  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.
