Topological solitons in the sigma-cuscuton model

TL;DR

This paper explores topological solitons within a multi-field sigma-cuscuton model, revealing that non-canonical contributions and non-minimal couplings lead to solitons with internal structures and ring-like profiles.

Contribution

It introduces a novel multi-field sigma-cuscuton model with non-canonical contributions and non-minimal coupling, analyzing BPS properties and soliton structures.

Findings

Solitons exhibit internal structures and ring-like profiles.

Cuscuton-like terms influence the formation of ring configurations.

Non-canonical contributions preserve spontaneous symmetry breaking.

Abstract

Building a multi-field theory with canonical and non-canonical contributions, one studies the topological solitons of the O(3)-sigma model. We propose a model constituted by the O(3)-sigma field, the cuscuton-like neutral scalar field, and Maxwell's field. We investigate BPS properties considering a theory without interaction. One performs this study by adopting the first-order formalism in a model with contribution non-canonical. Thus, these contributions will preserve the spontaneous symmetry breaking of the system. Concurrently, a non-minimal coupling between the sigma and the Maxwell field is assumed. In this scenario, interesting results arise, i.e., one notes that the solitons have an internal structure and ring-like profile. Furthermore, one observes that the ring-like configurations that emerge are directly related to the contribution of the cuscuton-like term.