BPS submodels of the Skyrme model

Abstract

We show that the standard Skyrme model without pion mass term can be expressed as a sum of two BPS submodels, i.e., of two models whose static field equations, independently, can be reduced to first order equations. Further, these first order (BPS) equations have nontrivial solutions, at least locally. These two submodels, however, cannot have common solutions. Our findings also shed some light on the rational map approximation. Finally, we consider certain generalisations of the BPS submodels.

Latex, 12 pages

References in corpus (4)

• A BPS Skyrme model and baryons at large Nc
• Investigation of restricted baby Skyrme models
• Exact multi-soliton solutions in the four dimensional Skyrme model
• Generalized Skyrme model with the loosely bound potential

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