Supersymmetric Yang-Mills fields as an integrable system and connections with other non-linear systems

Conference · Sat Jan 01 04:00:00 EST 1983

OSTI ID:6585886

Chau, L L

Integrable properties, i.e., existence of linear systems, infinite number of conservation laws, Reimann-Hilbert transforms, affine Lie algebra of Kac-Moody, and Bianchi-Baecklund transformation, are discussed for the constraint equations of the supersymmetric Yang-Mills fields. For N greater than or equal to 3 these constraint equations give equations of motion of the fields. These equations of motion reduce to the ordinary Yang-Mills equations as the spinor and scalar fields are eliminated. These understandings provide a possible method to solve the full Yang-Mills equations. Connections with other non-linear systems are also discussed. 53 references.

• Research Organization: Brookhaven National Lab., Upton, NY (USA)
• DOE Contract Number: AC02-76CH00016
• OSTI ID: 6585886
• Report Number(s): BNL-34798; CONF-8311184-1; ON: DE84013231
• Country of Publication: United States
• Language: English

Related Subjects

645303 -- High Energy Physics-- Particle Invariance Principles & Symmetries-- Applications to Strong Interactions-- (-1987)
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAECKLUND TRANSFORMATION
CONSERVATION LAWS
HILBERT TRANSFORMATION
INTEGRAL TRANSFORMATIONS
LIE GROUPS
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS
TRANSFORMATIONS
YANG-MILLS THEORY