Yang-Mills fields on two-surfaces of constant curvature

Details Yang-Mills fields on two-surfaces of constant curvature Yang-Mills fields on two-surfaces of constant curvature

Jul 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cqgra...1..325h&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 1, July 11, 1984, p. 325-330.

Physics

2

Minkowski Space, Relativity, Surface Geometry, Yang-Mills Fields, Yang-Mills Theory, Einstein Equations, Gauge Theory, Space-Time Functions

Scientific paper

The paper describes a solution of the SL(2,R) Yang-Mills equations on a two-surface of constant negative curvature which is the analogue of the SU(2) Wu-Yang solution on S2. It represents the Maxwell field of a magnetic pole with a space-like geodesic world-line (when viewed in Minkowskian space-time) embedded in the SL(2,R) Yang-Mills theory. The corresponding 'pseudo-meron' solution is derived and is shown to be gauge related to one half the Maurer-Cartan form on SL(2,R) in the same way as the meron solution is gauge related to one half the Maurer-Cartan form on SU(2).

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