Further Remarks on the Chiral Model Approach to Self-Dual Gravity

TL;DR

This paper explores the connection between harmonic maps in the chiral model and self-dual gravity, deriving a WZW-like action for the latter, thus advancing theoretical understanding of self-dual gravity.

Contribution

It introduces a WZW-like action for self-dual gravity based on chiral model techniques, bridging harmonic map results with gravitational theories.

Findings

Established a link between harmonic maps and self-dual gravity

Derived a WZW-like action for self-dual gravity

Extended chiral model results to gravitational context

Abstract

It is shown how some results on harmonic maps within the chiral model can be carried over to self-dual gravity. The WZW-like action for self-dual gravity is found.