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

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23 Citations (Scopus)

Abstract

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
Volume257
Issue number1-2
Publication statusPublished - 1991 Dec 1
Externally publishedYes

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algebra
gravitation
symmetry
homology
gauge theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Self-dual Yang-Mills (+gravity) as a 2D sigma model. / Park, Q Han.

In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 257, No. 1-2, 01.12.1991, p. 105-110.

Research output: Contribution to journalArticle

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