标题： 存在暗物质 sector 时的全息涡旋 显示英文标题

标题： Holographic vortices in the presence of dark matter sector

摘要： 似乎{\it 暗物质}是宇宙中总物质结构中不可避免的组成部分，而了解{\it 暗物质}如何影响超导体的性质对于旨在直接探测它的实验来说至关重要。 在具有{\it 暗物质}部分的理论中，垂直作用于 (2+1) 维 s 波全息超导体表面的均匀磁场已被通过额外的$U(1)$规范场（代表暗物质）与 Maxwell 场耦合的模型所描述。 正如预期的那样，涡旋构型的自由能为负值。 重要的是，在存在{\it 暗物质}部分的情况下，其值更低。 这一特性可以解释为什么在早期宇宙中首先形成了{\it 暗物质}的网络，然后在这些网格上形成了普通物质组成的星系团。 显示英文摘要

摘要： The {\it dark matter} seem to be an inevitable ingredient of the total matter configuration in the Universe and the knowledge how the {\it dark matter} affects the properties of superconductors is of vital importance for the experiments aimed at its direct detection. The homogeneous magnetic field acting perpendicularly to the surface of (2+1) dimensional s-wave holographic superconductor in the theory with {\it dark matter} sector has been modeled by the additional $U(1)$-gauge field representing dark matter and coupled to the Maxwell one. As expected the free energy for the vortex configuration turns out to be negative. Importantly its value is lower in the presence of {\it dark matter} sector. This feature can explain why in the Early Universe first the web of {\it dark matter} appeared and next on these gratings the ordinary matter forming cluster of galaxies has formed.