# nLab Bogomolny equation

Contents

### Context

#### Chern-Weil theory

∞-Chern-Weil theory

∞-Chern-Simons theory

∞-Wess-Zumino-Witten theory

# Contents

## Idea

The Bogomolny equations are differential equations re-expressing the equations of motion of self-dual Yang-Mills theory on 4-dimensional Minkowski spacetime for time-independent solutions in terms of dimensional reductions $D = 3$ Euclidean space.