Nonlinear W<inf>∞</inf> algebras from nonlinear integrable deformations of self dual gravity

Abstract:

A proposal for constructing a universal nonlinear W ̂∞ algebra is made as the symmetry algebra of a rotational Killing-symmetry reduction of the nonlinear perturbations of Moyal-integrable deformations of D = 4 self dual gravity (IDSDG). This is attained upon the construction of a nonlinear bracket based on nonlinear gauge theories associated with infinite dimensional Lie algebras. A quantization and supersymmetrization program can also be carried out. The relevance to the Kadomtsev-Petviashvili hierarchy, 2D dilaton gravity, quantum gravity and black hole physics is discussed in the concluding remarks. © 1995.

Año de publicación:

1995

Keywords:

Fuente:

scopus