The Affine symmetry of self-dual gravity

Details The Affine symmetry of self-dual gravity The Affine symmetry of self-dual gravity

1994-10-10

arxiv.org/abs/hep-th/9410072v2

J.Math.Phys. 36 (1995) 6897-6906

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, RevTex, a few presentational changes - version to appear in J. Math. Phys

Scientific paper

10.1063/1.531197

Self-dual gravity may be reformulated as the two dimensional principal chiral model with the group of area preserving diffeomorphisms as its gauge group. Using this formulation, it is shown that self-dual gravity contains an infinite dimensional hidden symmetry whose generators form the Affine (Kac-Moody) algebra associated with the Lie algebra of area preserving diffeomorphisms. This result provides an observable algebra and a solution generating technique for self-dual gravity.

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