Noncommutative Monopoles and Riemann-Hilbert Problems
نویسندگان
چکیده
The Bogomolny equations for Yang-Mills-Higgs monopoles follow from a system of linear equations which may be solved through a parametric Riemann-Hilbert problem. We extend this approach to noncommutative R and use it to (re)construct noncommutative Dirac, Wu-Yang, and BPS monopole configurations in a unified manner. In all cases we write down the underlying matrix-valued functions for multi-monopoles and solve the corresponding Riemann-Hilbert problems for charge one. ∗ On leave from Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, Russia
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تاریخ انتشار 2003