Space-time foam from non-commutative instantons

We show that a U (1) instanton on non-commutative ℝ⁴ corresponds to a non-singular U (1) gauge field on a commutative Kähler manifold X which is a blowup of C2 at a finite number of points. This gauge field on X obeys Maxwell's equations in addition to the susy constraint F ^0,2 = 0. For instanton charge k the manifold X can be viewed as a space-time foam with b₂ ∼ k. A direct connection with integrable systems of Calogero-Moser type is established. We also make some comments on the non-abelian case.