Singular Monopoles and Gravitational Instantons

Abstract:

We model A _k and D _k asymptotically locally flat gravitational instantons on the moduli spaces of solutions of U(2) Bogomolny equations with prescribed singularities. We study these moduli spaces using Ward correspondence and find their twistor description. This enables us to write down the Kähler potential for A _k and D _k gravitational instantons in a relatively explicit form.