Self-dual Chern-Simons equations and Nambu-Goto action

摘要

Geometrically induced flat SO(3) connections on a string world-sheet are used to construct a self-dual Chem-Simons system for minimal and constant mean curvature surfaces immersed in R-3. Instanton-type solutions are shown to correspond to vortex configurations. Inclusion of a third fundamental form is discussed. [References: 17]