Drinfeld-Manin Instanton and Its Noncommutative Generalization

Details Drinfeld-Manin Instanton and Its Noncommutative Generalization Drinfeld-Manin Instanton and Its Noncommutative Generalization

2003-07-27

arxiv.org/abs/hep-th/0307264v5

Chin.Phys.C34:1556-1564,2010

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTeX, references added, mailing address added, clarifications added

Scientific paper

10.1088/1674-1137/34/10/002

The Drinfeld-Manin construction of U(N) instanton is reformulated in the ADHM formulism, which gives explicit general solutions of the ADHM constraints for U(N) (N>=2k-1) k-instantons. For the N<2k-1 case, implicit results are given systematically as further constraints, which can be used to the collective coordinate integral. We find that this formulism can be easily generalized to the noncommutative case, where the explicit solutions are as well obtained.

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