MODULI SPACE METRICS FOR AXIALLY-SYMMETRICAL INSTANTONS

Under an axial symmetry the Yang-Mills self-duality equations for an a rbitrary gauge group reduce to the Toda equation for that particular g roup, from which the finite action instantons (hyperbolic vortices) ma y be constructed. The space of such finite action instantons, with gau ge equivalent solutions identified, is known as the moduli space, and carries a naturally defined Kahler metric. This metric is studied for the simply laced Lie algebras, and explicit examples are constructed f or the 2-vortex system.