Phys. Rev. Lett. 72, 800–803 (1994)Self-dual gravity and the chiral modelReceived 28 September 1993; published in the issue dated 7 February 1994 The self-dual Einstein equation (SDE) is shown to be equivalent to the two dimensional chiral model, with gauge group chosen as the group of area preserving diffeomorphisms of a two dimensional surface. The approach given here leads to an analog of the Plebanski equations for general self-dual metrics, and to a natural Hamiltonian formulation of the SDE, namely that of the chiral model. © 1994 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.72.800
DOI:
10.1103/PhysRevLett.72.800
PACS:
04.60.Ds, 11.10.Lm, 11.30.Rd
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