Exotic instantons in eight dimensions

TL;DR

This paper explores (anti-)self-duality equations in eight-dimensional space, utilizing Clifford algebra properties to discover a novel solution to these complex equations.

Contribution

The paper introduces a new solution to eight-dimensional (anti-)self-duality equations using Clifford algebra techniques, advancing mathematical understanding in higher-dimensional gauge theories.

Findings

Found a new solution to eight-dimensional (anti-)self-duality equations

Utilized Clifford algebra $Cl_{0,8}( ext{R})$ properties in the analysis

Enhanced understanding of gauge theories in higher dimensions

Abstract

In this paper, we study the (anti-)self-duality equations $\ast F\wedge F=\pm F\wedge F$ in the eight-dimensional Euclidean space. Using properties of the Clifford algebra $Cl_{0,8}(\mathbb{R})$, we find a new solution to these equations.