  Consistent self-interactions of Curtright fields (Lorentz tensors with (2,1)
Young diagram index symmetry) are constructed in dimensions 5 and 7. Most of
them modify the gauge transformations of the free theory but the commutator
algebra of the deformed gauge transformations remains Abelian in all cases. All
of these interactions contain terms cubic in the Curtright fields with four or
five derivatives, which are reminiscent of Yang-Mills, Chapline-Manton,
Freedman-Townsend and Chern-Simons interactions, respectively.
