New approaches in W-gravities

Abstract

We have devoted an effort to study some nonlinear actions, characteristics of the $\mathcal{W}$-theories, in the framework of the soldering formalism. We have disclosed 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 gets modified by the soldering interference process. The results are presented in a weak field approximation for the ${\mathcal{W}}_N$ case when N is greater than 3 and also in an exact way for ${\mathcal{W}}_2$. We have promoted a generalization of the interference phenomena to ${\mathcal{W}}_N$-theories of different chiralities and shown that the geometrical features introduced can yield a new understanding about the interference formalism in quantum field theories.

28 pages, Latex

References in corpus (6)

• Bosonisation and Duality Symmetry in the Soldering Formalism
• Bose Symmetry and Chiral Decomposition of 2D Fermionic Determinants
• Interference Phenomenon for Different Chiral Bosonization Schemes
• Destructive Interference of Dualities
• Interference Phenomenon for the Faddeevian Regularization of 2D Chiral Fermionic Determinants
• Interference phenomena, chiral bosons and Lorentz invariance