Uploaded March 2025 | Updated September 2026, 2 weeks ago
Speaker: Derek Harland (Leeds University)
Abstract: In 1982 Nick Manton discovered a metric whose geodesics approximate the dynamics of slowly-moving monopoles. These metrics are hyperkähler have reappeared in a variety of physical and mathematical contexts. Famously, the analogue of Manton’s metric for monopoles on hyperbolic space is ill-defined due to a divergent integral. In this talk I will present a new solution to this problem, based on a gauge-fixing condition arising from supersymmetry. This leads to a hyperbolic analogue of the hyperkähler geometry of Euclidean monopoles.
Speaker: Derek Harland (Leeds University)
Abstract: In 1982 Nick Manton discovered a metric whose geodesics approximate the dynamics of slowly-moving monopoles. These metrics are hyperkähler have reappeared in a variety of physical and mathematical contexts. Famously, the analogue of Manton’s metric for monopoles on hyperbolic space is ill-defined due to a divergent integral. In this talk I will present a new solution to this problem, based on a gauge-fixing condition arising from supersymmetry. This leads to a hyperbolic analogue of the hyperkähler geometry of Euclidean monopoles.
