Self-dual gravity as a large-N limit of the 2D non-linear sigma model

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Abstract

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.

Original languageEnglish
Pages (from-to)287-290
Number of pages4
JournalPhysics Letters B
Volume238
Issue number2-4
DOIs
Publication statusPublished - 1990 Apr 5

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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