Description
Hyperbolic monopoles are solutions of the Bogomol’nyi equations on three-dimensional
hyperbolic space. These equations are natural reduction of the self-duality equations for
Yang-Mills fields in four-dimensional euclidean space. I will present the construction of a
supersymmetric Yang-Mills theory on hyperbolic space, identify hyperbolic monopoles as
supersymmetric configurations and will show how supersymmetry determines the geometry
of the moduli space of hyperbolic monopoles.
