  A nonabelian class of massless/massive nonlinear gauge theories of Yang-Mills
vector potentials coupled to Freedman-Townsend antisymmetric tensor potentials
is constructed in four spacetime dimensions. These theories involve an extended
Freedman-Townsend type coupling between the vector and tensor fields, and a
Chern-Simons mass term with the addition of a Higgs type coupling of the tensor
fields to the vector fields in the massive case. Geometrical, field theoretic,
and algebraic aspects of the theories are discussed in detail. In particular,
the geometrical structure mixes and unifies features of Yang-Mills theory and
Freedman-Townsend theory formulated in terms of Lie algebra valued curvatures
and connections associated to the fields and nonlinear field strengths. The
theories arise from a general determination of all possible geometrical
nonlinear deformations of linear abelian gauge theory for 1-form fields and
2-form fields with an abelian Chern-Simons mass term in four dimensions. For
this type of deformation (with typical assumptions on the allowed form
considered for terms in the gauge symmetries and field equations), an explicit
classification of deformation terms at first-order is obtained, and uniqueness
of deformation terms at all higher-orders is proven. This leads to a uniqueness
result for the nonabelian class of theories constructed here.
