Lagrangian interactions within a special class of covariant mixed-symmetry type tensor gauge fields

Consistent non-trivial interactions within a special class of covariant mixed-symmetry type tensor gauge fields of degree three are constructed from the deformation of the solution to the master equation combined with specific cohomological techniques. In spacetime dimensions strictly greater than four, the only consistent interaction terms are those gauge invariant under the original symmetry. Only in four spacetime dimensions the gauge symmetry is found to be deformed. Received: 21 November 2002 / Revised version: 9 December 2002 / Published online: 14 February 2003