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

Q Han Park

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

Research output: Contribution to journal › Article

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 language	English
Pages (from-to)	105-110
Number of pages	6
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	257
Issue number	1-2
Publication status	Published - 1991 Dec 1
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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Park, Q. H. (1991). Self-dual Yang-Mills (+gravity) as a 2D sigma model. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 257(1-2), 105-110.

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