2D sigma model approach to 4D instantons

Journal Article · Fri Mar 20 00:00:00 EST 1992 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217751X92000624· OSTI ID:5675016

Park, Q H ^[1]

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1. Dept. of Physics and Astronomy, Univ. of Maryland at College Park, College Park, MD (US)

4D self-dual theories are proposed to generalize 2D conformal field theory. The authors identify 4D self-dual gravity as well as self-dual Yang-Mills theory with 2D sigma models valued in infinite-dimensional gauge groups. It is shown that these models possess infinite-dimensional symmetries with associated algebras - CP{sup 1} extensions of respective gauge algebras of 2D sigma models - which generalize the Kac-Moody algebra as well as W{sub {infinity}}. This paper addresses various issues concerning 2D sigma models, twistors and sheaf cohomology. An attempt to connect 4D self-dual theories with 2D conformal field theory is made through sl({infinity}) Toda field theory.

• OSTI ID: 5675016
• Journal Information: International Journal of Modern Physics A; (United States), Vol. 7:7; ISSN 0217-751X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FIELD THEORIES
INSTANTONS
CONFORMAL INVARIANCE
EUCLIDEAN SPACE
FIELD ALGEBRA
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
GRAVITATION
NONLINEAR PROBLEMS
SIGMA MODEL
TWO-DIMENSIONAL CALCULATIONS
YANG-MILLS THEORY
BOSON-EXCHANGE MODELS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICAL SPACE
PARTICLE MODELS
PERIPHERAL MODELS
QUASI PARTICLES
RIEMANN SPACE
SPACE
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)