Solitons and exotic instantons

TL;DR

This paper explores eight-dimensional 't Hooft instantons, discovering new soliton solutions in heterotic fivebrane theory, and examines their relation to D-instantons, D7-branes, and monopoles, expanding understanding of higher-dimensional gauge configurations.

Contribution

It introduces novel eight-dimensional instanton solutions and analyzes their role in string theory brane configurations, linking solitons, instantons, and monopoles.

Findings

New soliton solutions in eight-dimensional gauge theory.

Conditions for instantons to be identified with D-instantons.

Relationship established between periodic instantons and monopoles.

Abstract

In this paper, we study the 't Hooft type instantons in eight dimensions, which satisfy the (anti)self-dual equations $F\wedge F=\pm\ast_8F\wedge F$. Using various designs of such instantons, we find new soliton solutions to the low-energy effective theory of the heterotic fivebrane. We investigate conditions under which these instanton configurations can be identified with the $D$-instantons embedded in the $D7$-brane world volume. Finally, we discuss the relationship between eight-dimensional periodic instantons and monopoles.