Symmetries of the 4D self-dual Yang-Mills equation and the reduction to the 2D KdV equation

Journal Article · Wed Apr 01 00:00:00 EST 1992 · Annals of Physics (New York); (United States)

OSTI ID:5197528

La, HoSeong ^[1]

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1. Univ. of Pennsylvania, Philadelphia (United States)

The Lie-point and the Lie-Baecklund symmetries of 4D self-dual Yang-Mills equation are investigated as those of differential equations. The Lie-point symmetry is nothing but the gauge symmetry at the level of field equation, but the Lie-Baecklund symmetries are new. In particular, by the symmetry reduction to KdV equation in 2D the corresponding Lie-Baecklund symmetries which reduce to the isospectral symmetries or to the nonisospectral symmetries are identified. Some speculations on the existence of the self-dual Yang-Mills hierarchy as well as the derivation of the 4D analogue of the string equation of the nonperturbative 2D quantum gravity are given.

• OSTI ID: 5197528
• Journal Information: Annals of Physics (New York); (United States), Vol. 215:1; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
YANG-MILLS THEORY
FIELD EQUATIONS
DIFFERENTIAL EQUATIONS
DIMENSIONS
LIE GROUPS
PERTURBATION THEORY
QUANTUM GRAVITY
STRING MODELS
SYMMETRY
TRANSFORMATIONS
COMPOSITE MODELS
EQUATIONS
EXTENDED PARTICLE MODEL
FIELD THEORIES
MATHEMATICAL MODELS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUARK MODEL
SYMMETRY GROUPS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)