Some self-dual SO(3) solutions of the Yang-Mills equation and a note on harmonic maps
Thesis/Dissertation
·
OSTI ID:6444087
In Part One, the 't Hooft ansatz for constructing self-dual solutions of the SU(2) Yang-Mills equation on S/sup 4/ is generalized. The result is a family of explicity self-dual SO(3) connections on any 1/2-conformally flat manifold of positive scalar curvature. Implications and examples are discussed. Part Two contains a simple reformulation of the harmonicity condition for a map from a surface to a complex Grassmannian.
- Research Organization:
- California Univ., Berkeley (USA)
- DOE Contract Number:
- AT03-80ER10617
- OSTI ID:
- 6444087
- Country of Publication:
- United States
- Language:
- English
Similar Records
Conformally flat spaces and solutions to Yang-Mills equations
Action for {ital N}=4 supersymmetric self-dual Yang-Mills theory
Solutions of the massive SU(N) Yang-Mills equations by harmonic maps
Journal Article
·
Thu Feb 14 23:00:00 EST 1980
· Phys. Rev., D; (United States)
·
OSTI ID:5660437
Action for {ital N}=4 supersymmetric self-dual Yang-Mills theory
Journal Article
·
Wed Jan 31 23:00:00 EST 1996
· Physical Review, D
·
OSTI ID:279480
Solutions of the massive SU(N) Yang-Mills equations by harmonic maps
Journal Article
·
Sat Oct 01 00:00:00 EDT 2005
· Journal of Mathematical Physics
·
OSTI ID:20699508