Integrable Field Theories derived from 4D Self-dual Gravity

Details Integrable Field Theories derived from 4D Self-dual Gravity Integrable Field Theories derived from 4D Self-dual Gravity

1995-08-04

arxiv.org/abs/hep-th/9508012v2

Mod.Phys.Lett. A11 (1996) 545-552

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, Latex (minor changes, new address added, to appear in Mod.Phys.Lett.A)

Scientific paper

10.1142/S0217732396000588

We reformulate the self-dual Einstein equation as a trio of differential form equations for simple two-forms. Using them, we can quickly show the equivalence of the theory and 2D sigma models valued in an infinite-dimensional group, which was shown by Park and Husain earlier. We also derive other field theories including the 2D Higgs bundle equation. This formulation elucidates the relation among those field theories.

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