## Abstract

By combining two different techniques to construct multi-soliton solutions of the (3+1)-dimensional Skyrme model, the generalized hedgehog and the rational map ansatz, we find multi-Skyrmion configurations in AdS_{2}×S_{2}. We construct Skyrmionic multi-layered configurations such that the total Baryon charge is the product of the number of kinks along the radial AdS_{2} direction and the degree of the rational map. We show that, for fixed total Baryon charge, as one increases the charge density on ∂(AdS_{2}×S_{2}), it becomes increasingly convenient energetically to have configurations with more peaks in the radial AdS_{2} direction but a lower degree of the rational map. This has a direct relation with the so-called holographic popcorn transitions in which, when the charge density is high, multi-layered configurations with low charge on each layer are favored over configurations with few layers but with higher charge on each layer. The case in which the geometry is M_{2}×S_{2} can also be analyzed.

Original language | English |
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Pages (from-to) | 394-410 |

Number of pages | 17 |

Journal | Nuclear Physics B |

Volume | 921 |

DOIs | |

State | Published - Aug 2017 |

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