论文标题
$ u（1）$对称性破坏的新颖厚的黑色解决方案
Novel thick brane solutions with $U(1)$ symmetry breaking
论文作者
论文摘要
在这项工作中，使用两个标量字段（$ ϕ $，$ψ$）结合到4+1维重力，我们通过明确的$ u（1）$对称性破坏术语来构建新颖的拓扑布兰解决方案。该模型的潜力是构建的，因此存在$ ϕ^{4} $电位的$ ϕ $字段中的两个不同的退化真空。因此，由于$ ϕ $字段的真空结构，Brane解决方案出现。但是，$ψ$方向上的拓扑和真空结构取决于对称性破坏参数$β^{2} $，这导致了不同类型的麸皮。结果，人们可以将当前模型解释为$ ϕ^{4} $ brane与辅助场的组合，从而导致与$ ϕ^{4} $系统的偏差，而Brane可以实现更丰富的内部结构。此外，我们详细分析了超电势，扭曲因子，Ricci和Kretschmann鳞片的行为以及Einstein Tensor组件。除此之外，我们还根据模型的自由参数探讨了brane的稳定性。这里提供的分析补充了以前的工作，并且足够新颖，以至于很有趣。
In this work, using two scalar fields ($ϕ$, $ψ$) coupled to 4+1 dimensional gravity, we construct novel topological brane solutions through an explicit $U(1)$ symmetry breaking term. The potential of this model is constructed so that two distinct degenerate vacua in the $ϕ$ field exist, in analogy to the $ϕ^{4}$ potential. Therefore, brane solutions appear due to the vacuum structure of the $ϕ$ field. However, the topology and vacuum structure in the $ψ$ direction depends on the symmetry breaking parameter $β^{2}$, which leads to different types of branes. As a result, one can interpret the present model as a combination of a $ϕ^{4}$ brane with an auxiliary field, which leads to deviations from the $ϕ^{4}$ system with the brane achieving a richer internal structure. Furthermore, we analyse in detail the behaviour of the superpotentials, the warp factors, the Ricci and Kretschmann scalars and the Einstein tensor components. In addition to this, we explore the stability of the brane in terms of the free parameters of the model. The analysis presented here complements previous work and is sufficiently novel to be interesting.
