Noncommutative instantons on $d=2n$ planes from matrix models

TL;DR

This paper derives a general class of instanton solutions for noncommutative gauge theories on even-dimensional planes using matrix models, expanding understanding of noncommutative geometry in gauge theory contexts.

Contribution

It introduces a new method to construct instanton solutions on noncommutative spaces using matrix models and oscillator representations.

Findings

Explicit instanton solutions in terms of oscillators

Applicable to noncommutative gauge theories on even-dimensional planes

Provides a framework for further exploration of noncommutative instantons

Abstract

In the case of an invertible coordinate commutator matrix $\theta_{ij}$, we derive a general instanton solution of the noncommutative gauge theories on $d=2n$ planes given in terms of $n$ oscillators.