Noncommutative Instantons on CP^n

TL;DR

This paper constructs explicit noncommutative instanton solutions on complex projective space, extending classical instanton solutions to a noncommutative geometric setting and analyzing their properties.

Contribution

It provides explicit solutions of Hermitian Yang-Mills equations on noncommutative CP^n, bridging noncommutative geometry with classical instanton theory.

Findings

Explicit noncommutative instanton solutions on C^n_θ

Solutions reduce to classical instantons on CP^n in the commutative limit

Advances understanding of gauge theories in noncommutative geometry

Abstract

We construct explicit solutions of the Hermitian Yang-Mills equations on the noncommutative space C^n_\theta. In the commutative limit they coincide with the standard instantons on CP^n written in local coordinates.