This work deals with thick branes in bulk with a single extra dimension modeled by a two-field configuration. We first consider the inclusion of the cuscuton to also control the dynamics of one of the fields and investigate how it contributes to change the internal structure of the configuration in two distinct situations, with the standard and the asymmetric Bloch brane. The results show that the branes get a rich internal structure, with the geometry presenting a novel behavior which is also governed by the parameter that controls the strength of the cuscuton term. We also study the case where the dynamics of one of the two fields is only described by the cuscuton. All the models support analytical solutions which are stable against fluctuations in the metric, and the main results unveil significant modifications in the warp factor and energy density of the branes.
$U(1)$ Gauge Field Localization on Bloch Brane with Chumbes-Holf da Silva-Hott Mechanism
我们采用Chumbes-Holf da Silva-Hott（CHH）机制研究了$U(1)$规范场在Bloch膜上的（准）定域.本文讨论了四种Bloch膜解的$U(1)$规范场的定域性：原始Bloch膜解、广义Bloch膜解、退化Bloch膜解I和II。在CHH机制下，我们发现规范场Kaluza-Klein模的质量谱是连续的，只有规范场的零模局域在膜上.对于质量模，只在简并的Bloch膜上存在共振模。
Almeida及其合作者[Phys. Rev. D \textbf{79}，125022（2009）]在最近发表于该杂志的一篇论文中分析了费米子在由两个与引力耦合的标量场构成的膜（Bloch膜模型）上的费米子局域化问题。在这项有价值的研究中，最简单的汤川耦合$η\barΨϕχΨ$被认为是。在这项工作中没有详细分析零模式。本文重新研究了费米子在双场厚膜上的局域化。发现最简单的汤川耦合不支持费米子在膜上的局域化。此外，还分析了其他几种Yukawa耦合的费米子局域化问题。结果表明，左手和右手费米子的零模可以本地化的膜依赖于耦合常数$η$和Bloch膜的参数$a$的值。
Magnetic D-brane solitons: skyrmion strings ending on a Néel wall in chiral magnets
Institute of Contemporary Mathematics, School of Mathematics and Statistics, Henan University（河南大学数学与统计学院当代数学研究所）；Department of Physics, Chemistry and Pharmacy, University of Southern Denmark（南丹麦大学物理、化学与药学系）；International Institute for Sustainability with Knotted Chiral Meta Matter (WPI-SKCM 2 ), Hiroshima University（广岛大学缠绕手性超材料可持续国际研究所）
