Kinks in composite scalar field theories

TL;DR

This paper analytically identifies and constructs families of kink solutions in multifield scalar theories with polynomial or sine-Gordon-type potentials, providing a framework for creating more complex models with known solutions.

Contribution

It introduces a method to build composite field theories from known models, enabling analytical solutions and extending models to larger target spaces.

Findings

Analytical kink solutions in multifield theories with polynomial and sine-Gordon potentials.

A framework for constructing complex models with inherited analytical solutions.

Extension of well-known models to wider target spaces.

Abstract

In this work, families of kinks are analytically identified in multifield theories with either polynomial or deformed sine-Gordon-type potentials. The underlying procedure not only allows us to obtain analytical solutions for these models, but also provides a framework for constructing more general families of field theories that inherit certain analytical information about their solutions. Specifically, this method combines two known field theories into a new composite field theory whose target space is the product of the original target spaces. By suitably coupling the fields through a superpotential defined on the product space, the dynamics in the subspaces become entangled while preserving original kinks as boundary kinks. Different composite field theories are studied, including extensions of well-known models to wider target spaces.