Multi-instantons in seven dimensions

TL;DR

This paper constructs new multi-instanton solutions for self-dual Yang-Mills equations in seven dimensions, extending four-dimensional instanton methods and revealing solutions with specific symmetry properties.

Contribution

It introduces a novel method to generate multi-instanton solutions in seven dimensions based on a modified t'Hooft construction, invariant under the E6 symmetry group.

Findings

Found N-instanton solutions with 8N parameters

Solutions exhibit E6 invariance

Extended instanton concepts to higher dimensions

Abstract

We consider the self-dual Yang-Mills equations in seven dimensions. Modifying the t'Hooft construction of instantons in $d=4$, we find $N$-instanton $7d$ solutions which depend on $8N$ effective parameters and are $E_{6}$-invariant.