Space-time foam from non-commutative instantons

H W Braden, N A Nekrasov

Research output: Contribution to journalArticlepeer-review

Abstract

We show that a U(1) instanton on non-commutative R-4 corresponds to a non-singular U(1) gauge field on a commutative Kahler manifold X which is a blowup of C-2 at a finite number of points. This gauge field on X obeys Maxwell's equations in addition to the susy constraint F-0,F-2=0. For instanton charge k the manifold X can be viewed as a space-time foam with b(2)similar tok. 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
Volume249
Issue number3
DOIs
Publication statusPublished - Aug 2004

Keywords

  • INTEGRABLE SYSTEMS
  • GAUGE-THEORY
  • MODEL
  • R-4

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