Construction of instanton and monopole solutions and reciprocity

Journal Article · Sun Apr 15 04:00:00 EST 1984 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(84)90145-3· OSTI ID:6741357

Corrigan, E; Goddard, P

An elementary argument demonstrating the completeness of the Atiyah-Drinfeld-Hitchin-Manin construction of self-dual instanton solutions to Eiclidean gauge theories is presented. The adaptation of this discussion to Nahm's construction for SU(2) monopoles is outlines. These constructions are shown to establish a reciprocity or duality between self-dual theories in zero and four dimensions and in one and three dimensions, respectively.

• Research Organization: Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, England
• OSTI ID: 6741357
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 154:1; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
DUALITY
EUCLIDEAN SPACE
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GREEN FUNCTION
INSTANTONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL SPACE
MONOPOLES
QUANTUM FIELD THEORY
QUASI PARTICLES
RIEMANN SPACE
SPACE
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS