Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multi-Skyrmions on $AdS_2 \times S_2$, Rational maps and Popcorn
  Transitions   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 $AdS_{2}\times S_{2}$. 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 $\partial\left(
AdS_{2}\times S_{2}\right) $, 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 $M_{2}\times S_{2}$ can also be analyzed.

22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol