Multi-Instantons in Higher Dimensions and Superstring Solitons

TL;DR

This paper constructs octonionic multi-instantons in higher-dimensional Yang-Mills theories and derives soliton solutions in heterotic string theory that preserve partial supersymmetry.

Contribution

It introduces novel octonionic multi-instanton solutions in 7 and 8 dimensions and applies them to generate supersymmetric solitons in heterotic string theory.

Findings

Constructed octonionic multi-instantons in 7 and 8 dimensions.

Derived heterotic string solitons preserving partial supersymmetry.

Connected multi-instantons to string solutions in higher-dimensional theories.

Abstract

We construct octonionic multi-instantons for the eight and seven dimensional Yang-Mills theory. Extended soliton solutions to the low-energy heterotic field theory equations of motion are constructed from these octonionic multi-instantons. The solitons describe a string in ten-dimensional Minkowski space, and preserve one and two of the sixteen space-time supersymmetries correspondingly.