Topological Charge of Noncommutative ADHM Instanton
Yu Tian, Chuan-Jie Zhu, Xing-Chang Song
TL;DR
This paper analytically computes the topological charge of noncommutative ADHM instantons, confirming it equals the instanton number, using Corrigan's identity.
Contribution
It provides an exact analytical calculation of the topological charge for noncommutative ADHM instantons, validating the instanton number correspondence.
Findings
Topological charge equals the instanton number k.
Analytical method confirms previous conjectures.
Uses Corrigan's identity for calculation.
Abstract
We analytically calculate the topological charge of the noncommutative ADHM U(N) k-instanton using the Corrigan's identity and find that the result is exactly the instanton number k.
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