Stable skyrmions from extra dimensions

TL;DR

This paper demonstrates that stable skyrmions can arise from five-dimensional models, with their size and energy characteristics being robust and potentially relevant for phenomenology, bridging instantons and Goldstone-based skyrmions.

Contribution

It introduces stable skyrmion solutions in 5D models with size stability and model-independent energy range, extending previous 4D and 5D skyrmion frameworks.

Findings

Skyrmions have stable sizes in 5D models.

Their energy ranges between 50-65 times F_pi^2/m_rho.

Configurations interpolate between instantons and Goldstone skyrmions.

Abstract

We show that skyrmions arising from compact five dimensional models have stable sizes. We numerically obtain the skyrmion configurations and calculate their size and energy. Although their size strongly depends on the magnitude of localized kinetic-terms, their energy is quite model-independent ranging between 50-65 times F_pi^2/m_rho, where F_pi is the Goldstone decay constant and m_rho the lowest Kaluza-Klein mass. These skyrmion configurations interpolate between small 4D YM instantons and 4D skyrmions made of Goldstones and a massive vector boson. Contrary to the original 4D skyrmion and previous 5D extensions, these configurations have sizes larger than the inverse of the cut-off scale and therefore they are trustable within our effective 5D approach. Such solitonic particles can have interesting phenomenological consequences as they carry a conserved topological charge analogous to baryon number.