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arXiv · 1507.05928

Baby Skyrmions in AdS

Matthew Elliot-Ripley·Thomas Winyard
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Abstract

We study the baby Skyrme model in a pure AdS background without a mass term. The tail decays and scalings of massless radial solutions are demonstrated to take a similar form to those of the massive flat space model, with the AdS curvature playing a similar role to the flat space pion mass. We also numerically find minimal energy solutions for a range of higher topological charges and find that they form concentric ring-like solutions. Popcorn transitions (named in analogy with studies of toy models of holographic QCD) from an n layer to an n+1-layer configuration are observed at topological charges 9 and 27 and further popcorn transitions for higher charges are predicted. Finally, a point-particle approximation for the model is derived and used to successfully predict the ring structures and popcorn transitions for higher charge solitons.

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Matthew Elliot-Ripley, Thomas Winyard. 2015-07-21. Baby Skyrmions in AdS. https://arxiv.org/abs/1507.05928

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