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arXiv · 1210.2233

Correspondence between Skyrmions in 2+1 and 3+1 Dimensions

Muneto Nitta
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Abstract

A lump (2D Skyrmion) can be constructed as a sine-Gordon kink (1D Skyrmion) inside a domain wall in the massive O(3) sigma model. In this paper, we discuss relations between Skyrmions in 2+1 and 3+1 dimensions. We first construct a Bogomol'nyi-Prasad-Sommerfield 3D Skyrmion as a lump inside a non-Abelian domain wall in an O(4) sigma model with a potential term admitting two discrete vacua. Next, we construct a conventional 3D Skyrmion as a baby Skyrmion in a non-Abelian domain wall in the Skyrme model with a modified mass term admitting two discrete vacua. We also construct a spinning 3D Skyrmion as a Q-lump in the non-Abelian domain wall.

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Muneto Nitta. 2013-01-04. Correspondence between Skyrmions in 2+1 and 3+1 Dimensions. https://doi.org/10.1103/physrevd.87.025013

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