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arXiv · hep-th/9606077

Symmetries, Currents and Conservation Laws of Self-Dual Gravity

A. D. Popov·M. Bordemann·H. Roemer
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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.

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A. D. Popov, M. Bordemann, H. Roemer. 1996-06-14. Symmetries, Currents and Conservation Laws of Self-Dual Gravity. https://doi.org/10.1016/0370-2693(96)00874-x

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