New approaches in $\mathcal{W}$ gravities

We devote effort to studying some nonlinear actions, characteristic of $\mathcal{W}$ theories, in the framework of the soldering formalism. We disclose interesting new results concerning the embedding of the original chiral $\mathcal{W}$ particles in different metrical spaces in the final soldered action; i.e., the metric is modified by the soldering interference process. The results are presented in a weak field approximation for the ${\mathcal{W}}_N$ case when $N>~3$ and also in an exact way for ${\mathcal{W}}_2.$ We promote a generalization of the interference phenomenon to ${\mathcal{W}}_N$ theories of different chiralities and show that the geometrical features introduced can yield a new understanding of the interference formalism in quantum field theories.