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Communications in Mathematical Physics

, Volume 249, Issue 3, pp 431–448 | Cite as

Space-Time Foam from Non-Commutative Instantons

  • Harry W  Braden
  • Nikita A. Nekrasov
Article

Abstract

We show that a U(1) instanton on non-commutative Open image in new window corresponds to a non-singular U(1) gauge field on a commutative Kähler manifold X which is a blowup of Open image in new window at a finite number of points. This gauge field on X obeys Maxwell’s equations in addition to the susy constraint F0,2=0. For instanton charge k the manifold X can be viewed as a space-time foam with b2k. A direct connection with integrable systems of Calogero-Moser type is established. We also make some comments on the non-abelian case.

Keywords

Manifold Foam Finite Number Integrable System Direct Connection 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  1. 1.Dept. of Mathematics and StatisticsUniversity of EdinburghEdinburghScotland
  2. 2.Joseph Henry LaboratoriesPrinceton UniversityPrincetonUSA
  3. 3.Institute for Theoretical and Experimental PhysicsMoscowRussia
  4. 4.IHESBures-sur-YvetteFrance

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