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2004•Modern Physics Letters AOpen access

TOPOLOGICAL CHARGE OF ADHM INSTANTON ON ${\bf R}^2_{\rm NC}\times{\bf R}^2$

Yu Tian

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Abstract

We have calculated the topological charge of U (N) instantons on nondegenerate noncommutative spacetime to be exactly the instanton number k in a previous paper.1 This paper, which deals with the degenerate [Formula: see text] case, is the continuation of Ref. 1. 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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We have calculated the topological charge of U (N) instantons on nondegenerate noncommutative spacetime to be exactly the instanton number k in a previous paper.1 This paper, which deals with the degenerate [Formula: see text] case, is the continuation of Ref. 1. 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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Available abstract

We have calculated the topological charge of U (N) instantons on nondegenerate noncommutative spacetime to be exactly the instanton number k in a previous paper.1 This paper, which deals with the degenerate [Formula: see text] case, is the continuation of Ref. 1. 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.

Key concepts: Instanton, Physics, Charge (physics), Topology (electrical circuits), Mathematics, Combinatorics, Mathematical physics, Quantum mechanics

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