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

Abstract

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.

arXiv comment22 pages, new version to appear in Phys. Rev. D

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Cited by in corpus (1)

• Cohomological gauge theory, quiver matrix models and Donaldson-Thomas theory