Noncommutative Monopoles and Riemann-Hilbert Problems
High Energy Physics - Theory
2009-11-10 v2
Abstract
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^3 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.
Keywords
Cite
@article{arxiv.hep-th/0306263,
title = {Noncommutative Monopoles and Riemann-Hilbert Problems},
author = {Olaf Lechtenfeld and Alexander D. Popov},
journal= {arXiv preprint arXiv:hep-th/0306263},
year = {2009}
}
Comments
1+39 pages; v2: typos corrected, refs added, final JHEP version