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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 discussrelations between Skyrmions in 2+1 and 3+1 dimensions. We first construct aBogomol'nyi-Prasad-Sommerfield 3D Skyrmion as a lump inside a non-Abeliandomain wall in an O(4) sigma model with a potential term admitting two discretevacua. Next, we construct a conventional 3D Skyrmion as a baby Skyrmion in anon-Abelian domain wall in the Skyrme model with a modified mass term admittingtwo discrete vacua. We also construct a spinning 3D Skyrmion as a Q-lump in thenon-Abelian domain wall.

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