Symmetries, Currents and Conservation Laws of Self-Dual Gravity

Details Symmetries, Currents and Conservation Laws of Self-Dual Gravity Symmetries, Currents and Conservation Laws of Self-Dual Gravity

1996-06-13

arxiv.org/abs/hep-th/9606077v2

Phys.Lett. B385 (1996) 63-74

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LaTeX, the paper was reformatted

Scientific paper

10.1016/0370-2693(96)00874-X

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.

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