Background fields and self-dual Skyrmions

Abstract

We show that a suitable background field can bring a non-BPS topological soliton into its BPS, self-dual, counterpart. As an example we consider Skyrmions in the minimal Skyrme model. We prove the triviality of the corresponding moduli space. This means that the resulting self-dual Skyrmion does statically interact with the background field. We also show that the originally self-dual Skyrmions (e.g. solutions of the BPS Skyrme model) can preserve the self-duality after a coupling with a background field. In this case, BPS Skyrmions can be effortless moved with respect to the background.

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Cited by in corpus (7)

• Vortex solutions in nonpolynomial scalar QED
• The Dielectric Skyrme model
• Dielectric Skyrmions
• Compact-like vortices in isotropic curved spacetime
• Impurity-doped scalar fields in arbitrary dimensions
• Incompressible topological solitons
• BPS deformations of the Skyrme model