Drinfeld-Manin instanton and its noncommutative generalization

TIAN Yu

doi:10.1088/1674-1137/34/10/002

Chinese Physics C> 2010, Vol. 34> Issue(10) : 1556-1564 DOI: 10.1088/1674-1137/34/10/002

Drinfeld-Manin instanton and its noncommutative generalization

TIAN Yu ^,

College of Physical Sciences, Graduate University of the Chinese Academy of Sciences, Beijing 100049, China

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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.

References

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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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沈阳化工大学材料科学与工程学院沈阳 110142

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

Received Date: 2009-11-25

Accepted Date: 2010-01-08

Available Online: 2010-10-05

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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Drinfeld-Manin instanton and its noncommutative generalization

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