The Affine symmetry of self-dual gravity
نویسنده
چکیده
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. PACS numbers: 02.20.Tw, 04.90.+e, 11.30.-j Typeset using REVTEX Address after September 15. ’95: Center for Gravitational Physics and Geometry, The Pennsylvania State University, University Park, PA 16802-6300, USA. 1
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