AI 中文总结
本文研究扩展SU(N)⊗U(1)规范扇区中拓扑非阿贝尔弦的稳定性，发现一般绕数构型的稳定区域仅存在于半局域极限的大混合角情形。
AI 中文摘要
我们研究了具有两个希格斯场的模型中拓扑非阿贝尔弦及其经典稳定性，以实现${\rm SU}(N) \otimes {\rm U}(1)_X\to {\rm SU}(N-1) \otimes {\rm U}(1)_{X^\prime}$的对称性破缺。拓扑起源归因于全局$\widetilde {\rm U}(1)$对称性及其在标量势中的破缺。考虑了任意整数$(n_1\\,, n_2)$的最一般绕数构型。基于对弦背景的时间依赖微扰以及微扰傅里叶模式耦合亥姆霍兹方程的数值解，分析了拓扑弦的稳定性。我们给出了$(n_1\\,, 0)$构型（或等价地$(0\\,, n_2)$构型）稳定区域的约束。对于$(n_1\neq 0\\,, n_2\neq 0)$的一般绕数构型，我们指出稳定区域仅存在于大混合角$\vartheta_N\to \frac{\pi}{2}$的半局域极限中。
英文摘要
We study the topological non-Abelian string and its classical stability in models with two Higgs fields to achieve the symmetry breaking of ${\rm SU}(N) \otimes {\rm U}(1)_X\to {\rm SU}(N-1) \otimes {\rm U}(1)_{X^\prime}$. The topological origin is due to the global $\widetilde {\rm U}(1)$ symmetry and its breaking in the scalar potential. The most generic winding configurations of arbitrary integers of $(n_1\,, n_2)$ are considered. The stability of the topological string is analyzed based on the time-dependent perturbations to the string background and numerical solutions to the coupled Helmholtz equations of the perturbed Fourier modes. We present the constraints on the stable regions for the $(n_1\,, 0)$ configuration (or equivalently the $(0\,, n_2)$ configuration). For the general winding configurations of $(n_1\neq 0\,, n_2\neq 0)$, we point out the stable regions only exist in the semilocal limit of the large mixing angle of $\vartheta_N\to \fracπ{2}$.
Comments22 pages with references, 4 figures
