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.

这项工作使用由两场配置建模的单个额外维度批量处理厚膜。我们首先考虑包含 cuscuton 来控制其中一个场的动力学，并研究它如何在两种不同情况下改变配置的内部结构，标准和不对称布洛赫膜。结果表明，膜获得了丰富的内部结构，几何表现出一种新的行为，该行为也受控制 cuscuton 项强度的参数控制。我们还研究了两个场之一的动力学仅由 cuscuton 描述的情况。所有模型都支持对指标波动稳定的解析解，