On an integrable deformation of Kapustin-Witten systems

Abstract

In this article we study an integrable deformation of the Kapustin-Witten equations. Using the Weyl-Wigner-Moyal-Groenewold description an integrable $\star$-deformation of a Kapustin-Witten system is obtained. Starting from known solutions of the original equations, some solutions to these deformed equations are obtained.

17 pages, no figures

References in corpus (4)

• Octonions, Monopoles, and Knots
• Multidimensional integrable systems and deformations of Lie algebra homomorphisms
• Geometry of Solutions of Hitchin Equations on R^2
• Integrable (2k)-Dimensional Hitchin Equations

Cited by in corpus (2)

• Self-dual gravity via Hitchin's equations
• On $2k$-Hitchin's equations and Higgs bundles: a survey