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 ∞.
|Number of pages||6|
|Journal||Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics|
|Publication status||Published - 1991 Dec 1|
ASJC Scopus subject areas
- Nuclear and High Energy Physics