On the ADHM construction of noncommutative U(2) k-instanton

Details On the ADHM construction of noncommutative U(2) k-instanton On the ADHM construction of noncommutative U(2) k-instanton

2005-10-26

arxiv.org/abs/hep-th/0510225v4

Phys.Rev. D73 (2006) 065021

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, new version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.73.065021

The basic objects of the ADHM construction are reformulated in terms of elements of the $A_{\theta}(R^4)$ algebra of the noncommutative $R_{\theta}^4$ space. This new formulation of the ADHM construction makes possible the explicit calculus of the U(2) instanton number which is shown to be the product of a trace of finite rank projector of the Fock representation space of the algebra $A_{\theta}(R^4)$ times a noncommutative version of the winding number.

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