Baby Skyrmions in AdS
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.
Keywords
Cite
@article{arxiv.1507.05928,
title = {Baby Skyrmions in AdS},
author = {Matthew Elliot-Ripley and Thomas Winyard},
journal= {arXiv preprint arXiv:1507.05928},
year = {2015}
}
Comments
16 pages, two tables, lots of figures