Self-dual quaternionic lumps in octonionic space-time

TL;DR

This paper explores self-dual bosonic lumps in octonionic space, revealing a broad class of exact solutions expressed as finite quaternionic power series, advancing understanding of octonionic field configurations.

Contribution

It introduces a new class of exact finite quaternionic power series solutions for self-dual bosonic lumps in octonionic space.

Findings

Discovery of a large class of exact solutions

Representation of solutions as finite quaternionic power series

Enhanced understanding of octonionic self-dual field configurations

Abstract

The theory of self-dual bosonic lumps immersed in the Cayley-calibrated space of octonions has a large class of exact finite quaternionic power series solutions.