Symmetries, Currents and Conservation Laws of Self-Dual Gravity
High Energy Physics - Theory
2009-10-30 v2 Astrophysics
General Relativity and Quantum Cosmology
Exactly Solvable and Integrable Systems
solv-int
Abstract
We describe an infinite-dimensional algebra of hidden symmetries for the self-dual gravity equations. Besides the known diffeomorphism-type symmetries (affine extension of w(infinity) algebra), this algebra contains new hidden symmetries, which are an affine extension of the Lorentz rotations. The full symmetry algebra has both Kac-Moody and Virasoro-like generators, whose exponentiation maps solutions of the field equations to other solutions. Relations to problems of string theories are briefly discussed.
Keywords
Cite
@article{arxiv.hep-th/9606077,
title = {Symmetries, Currents and Conservation Laws of Self-Dual Gravity},
author = {A. D. Popov and M. Bordemann and H. Roemer},
journal= {arXiv preprint arXiv:hep-th/9606077},
year = {2009}
}
Comments
14 pages, LaTeX, the paper was reformatted