Exact moduli space metrics for hyperbolic vortex polygons
Exact moduli space metrics for hyperbolic vortex polygons
Exact metrics on some totally geodesic submanifolds of the moduli space of static hyperbolic N-vortices are derived. These submanifolds, denoted as Σn,m, are spaces of Cn-invariant vortex configurations with n single vortices at the vertices of a regular polygon and m=N−n coincident vortices at the polygon’s center. The geometric properties …