Self-dual Yang-Mills (+gravity) as a 2D sigma model

Research output: Contribution to journalArticle

23 Citations (Scopus)


The 4D self-dual Yang-Mills gauge theory on a self-dual space X is shown to be equivalent to a 2D sigma model valued in infinite dimensional gauge groups. Infinitesimal symmetries of the self-dual equation are obtained in terms of the sheaf cohomology group H 1 (T, script O signF(-2)), of the twistor space T corresponding to X. They are shown to form a symmetry algebra - a "CP 1-extension" of the gauge symmetry algebra of a 2D sigma model which generalizes the Kac-Moody algebra as well as W .

Original languageEnglish
Pages (from-to)105-110
Number of pages6
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number1-2
Publication statusPublished - 1991 Dec 1
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Fingerprint Dive into the research topics of 'Self-dual Yang-Mills (+gravity) as a 2D sigma model'. Together they form a unique fingerprint.

  • Cite this