Abstract
The double-complex function method is applied tothe Bogomolny field equations ofYang–Mills–Higgs theory. We discuss how togenerate a family of solutions of the Bogomolny fieldequations with a double-complex Ernst potential. We discuss the application ofthe Neugebauer–Kramer transformation, the doubleEhlers transformation, and noncommutativity. An exampleof a concrete calculation is given.
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Yang, JF. Bogomolny Field Equations and the Double-Complex Function Method. International Journal of Theoretical Physics 38, 1817–1827 (1999). https://doi.org/10.1023/A:1026627602367
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DOI: https://doi.org/10.1023/A:1026627602367