Asymptotically embedded defects

TL;DR

This paper introduces the concept of asymptotically embedded defects, allowing classical solutions to be embedded in larger theories by focusing on their asymptotic fields, simplifying classification and construction.

Contribution

It proposes a new framework for embedding classical solutions asymptotically, broadening the scope of solutions in various field theories.

Findings

Asymptotically embedded defects can be classified systematically.

The method simplifies constructing solutions in complex field theories.

Provides a new approach to embedding classical solutions asymptotically.

Abstract

For many cases, the conditions to fully embed a classical solution of one field theory within a larger theory cannot be met. Instead, we find it useful to embed only the solution's asymptotic fields as this relaxes the embedding constraints. Such asymptotically embedded defects have a simple classification that can be used to construct classical solutions in general field theories.