On the ADHM construction of noncommutative U(2) k-instanton
M. Lagraa
Abstract
The basic objects of the ADHM construction are reformulated in terms of elements of the Aθ(R4) algebra of the noncommutative Rθ4 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 Aθ(R4) times a noncommutative version of the winding number.
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