Riemann-Hilbert transforms and Bianchi-Baaumlcklund transformations for the supersymmetric Yang-Mills fields
Journal Article
·
· Phys. Rev. Lett.; (United States)
Riemann-Hilbert transforms, and their connections with the affine Lie algebra of Kac and Moody, and a two-parameter Bianchi-Baaumlcklund transformation are given for the constraint equations for the supersymmetric Yang-Mills fields. These are important integrable properties of the supersymmetric Yang-Mills fields; especially for N> or =3 these constraint equations give equations of motion of the fields.
- Research Organization:
- Physics Department, Brookhaven National Laboratory, Upton, New York 11973
- DOE Contract Number:
- AC02-76CH00016
- OSTI ID:
- 6530381
- Journal Information:
- Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 52:22; ISSN PRLTA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645301 -- High Energy Physics-- Particle Invariance Principles & Symmetries-- General-- (-1987)
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
BAECKLUND TRANSFORMATION
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
INTEGRAL EQUATIONS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
SUPERSYMMETRY
SYMMETRY
TRANSFORMATIONS
YANG-MILLS THEORY
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
BAECKLUND TRANSFORMATION
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
INTEGRAL EQUATIONS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
SUPERSYMMETRY
SYMMETRY
TRANSFORMATIONS
YANG-MILLS THEORY