Space-time foam from non-commutative instantons

Harry W. Braden, Nikita A. Nekrasov

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)431-448
Number of pages18
JournalCommunications in Mathematical Physics
Issue number3
Publication statusPublished - Aug 2004
Externally publishedYes


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