Interaction of Non-Abelian Tensor Gauge Fields

Recently we introduced an extended vector bundle X on which non-Abeliantensor gauge fields realize a connection. Our aim here is to introduce interaction of non-Abelian tensor gauge fields with fermions and bosons. We have found that there exist twoseries of gauge invariant forms describing this interaction. The linear sum of these formscomprises the general gauge invariant Lagrangian. Studying the corresponding Euler-Lagrange equations we found that a particular linear combination of these forms exhibitsenhanced symmetry which guarantees the conservation of the corresponding high-rankcurrents. A possible mechanism of symmetry breaking and mass generation of tensorgauge bosons is suggested.