Integrable Field Theories derived from 4D Self-dual Gravity
High Energy Physics - Theory
2009-10-28 v2 General Relativity and Quantum Cosmology
Abstract
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.
Cite
@article{arxiv.hep-th/9508012,
title = {Integrable Field Theories derived from 4D Self-dual Gravity},
author = {Tatsuya Ueno},
journal= {arXiv preprint arXiv:hep-th/9508012},
year = {2009}
}
Comments
11 pages, Latex (minor changes, new address added, to appear in Mod.Phys.Lett.A)