The 4D self-dual gravity is shown to be equivalent to a large-N limit of the 2D non-linear sigma model with Wess-Zumino terms only. Infinite dimensional symmetries of the self-dual Einstein equations are derived and shown to form a closed algebra which includes W∞-a large-N limit of Zamolodchikov's WN algebra. These are interpreted in terms of Penrose's twistor theory.
ASJC Scopus subject areas
- Nuclear and High Energy Physics