Chiral tensors of mixed Young symmetry

Chiral tensors of mixed Young symmetry, which exist in the same spacetime dimensions 2 +4 n 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 six 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 nonchiral tensor. The use of prepotentials turns out to be essential in our analysis. We also comment on dimensional reduction.