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Topological Charge of ADHM Instanton on R^2_{NC}*R^2

Yu Tian
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Abstract

We have calculated the topological charge of U(N) instantons on non-degenerate noncommutative space time to be exactly the instanton number k in a previous paper [Mod.Phys.Lett. A18 1691]. This paper, which deals with the degenerate R^2_{NC}*R^2 case, is the continuation of that one. We find that the same conclusion holds in this case, thus complete the answer to the problem of topological charge of noncommutative U(N) instantons.

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Yu Tian. 2004-04-19. Topological Charge of ADHM Instanton on R^2_{NC}*R^2. https://doi.org/10.1142/s0217732304013726

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