Drinfeld-Manin instanton and its noncommutative generalization

  • 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. We find that this formulism can easily be generalized to the noncommutative case, where the explicit solutions are also obtained.

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TIAN Yu. Drinfeld-Manin instanton and its noncommutative generalization[J]. Chinese Physics C, 2010, 34(10): 1556-1564. doi: 10.1088/1674-1137/34/10/002
TIAN Yu. Drinfeld-Manin instanton and its noncommutative generalization[J]. Chinese Physics C, 2010, 34(10): 1556-1564.  doi: 10.1088/1674-1137/34/10/002 shu
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Received: 2009-11-25
Revised: 2010-01-08
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Drinfeld-Manin instanton and its noncommutative generalization

    Corresponding author: TIAN Yu,
  • College of Physical Sciences, Graduate University of the Chinese Academy of Sciences, Beijing 100049, China

Abstract: 

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. We find that this formulism can easily be generalized to the noncommutative case, where the explicit solutions are also obtained.

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