Symmetries of the 4D self-dual Yang-Mills equation and the reduction to the 2D KdV equation
Journal Article
·
· Annals of Physics (New York); (United States)
OSTI ID:5197528
- 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), Journal Name: Annals of Physics (New York); (United States) Vol. 215:1; ISSN 0003-4916; ISSN APNYA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
DIMENSIONS
EQUATIONS
EXTENDED PARTICLE MODEL
FIELD EQUATIONS
FIELD THEORIES
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
PERTURBATION THEORY
QUANTUM FIELD THEORY
QUANTUM GRAVITY
QUARK MODEL
STRING MODELS
SYMMETRY
SYMMETRY GROUPS
TRANSFORMATIONS
YANG-MILLS THEORY
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
DIMENSIONS
EQUATIONS
EXTENDED PARTICLE MODEL
FIELD EQUATIONS
FIELD THEORIES
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
PERTURBATION THEORY
QUANTUM FIELD THEORY
QUANTUM GRAVITY
QUARK MODEL
STRING MODELS
SYMMETRY
SYMMETRY GROUPS
TRANSFORMATIONS
YANG-MILLS THEORY