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Skyrmions and domain walls in (2+1) dimensions

A. Kudryavtsev·B. Piette·W. J. Zakrzewski
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Abstract

We study classical solutions of the vector O(3) sigma model in (2+1) dimensions, spontaneously broken to O(2)xZ2. The model possesses Skyrmion-type solutions as well as stable domain walls which connect different vacua. We show that different types of waves can propagate on the wall, including waves carrying a topological charge. The domain wall can also absorb Skyrmions and, under appropriate initial conditions, it is possible to emit a Skyrmion from the wall.

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A. Kudryavtsev, B. Piette, W. J. Zakrzewski. 1997-09-26. Skyrmions and domain walls in (2+1) dimensions. https://doi.org/10.1088/0951-7715%2F11%2F4%2F002

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