Abstract / Description of output
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 language | English |
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Pages (from-to) | 431-448 |
Number of pages | 18 |
Journal | Communications in Mathematical Physics |
Volume | 249 |
Issue number | 3 |
DOIs | |
Publication status | Published - Aug 2004 |
Keywords / Materials (for Non-textual outputs)
- INTEGRABLE SYSTEMS
- GAUGE-THEORY
- MODEL
- R-4