Noncommutative Monopoles and Riemann-Hilbert Problems
Olaf Lechtenfeld, Alexander D. Popov
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 R3 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.
Create a lesson
Related papers
Environmental Effects in Post-Minkowskian Dynamics: Effective Field Theory, Feynman Rules, and Ward Identities for Compact Objects in Relativistic Fluids
Zvi Bern, Samuel Degen, Enrico Herrmann et al.
Toward a Unique Filter for the Gravitational Path Integral
Marc S. Klinger
Young Gerard storming high energy physics
John Iliopoulos
Exploring multi-parameter optimization in FRG
A. Codello, G. P. Vacca, D. Zarrilli
New Bethe vacua for N=2 elliptic models
Antonio Amariti, Pietro Glorioso, Chiara Mascherpa et al.
Holographic correlators with non-supersymmetric multi-particle states
Michele Giorgi, Stefano Giusto