标题： 非交换$p$-波全息超导体 显示英文标题

标题： Noncommutative $p$-wave holographic superconductors

摘要： 在本工作中，我们研究了非对易几何对具有大质量矢量凝聚态的p波全息超导体性质的影响。 我们应用了Stürm-Liouville本征值方法来分析该模型。 在该模型中，我们计算了两个不同$m^2$值下的临界温度和凝聚态算符的值。 我们还展示了非对易几何的影响如何改变这些量。 最后，通过在边界方向上应用线性化的规范场扰动，我们使用自洽方法计算了全息超导体的直流电导率，然后进行了更严格的分析。 非对易效应也出现在直流电导率的结果中。 我们还发现，就像对易情况一样，由于频率区域中存在一阶极点，这里的直流电导率发散。 显示英文摘要

摘要： In this work, we have studied the effects of noncommutative geometry on the properties of p-wave holographic superconductors with massive vector condensates in the probe limit. We have applied the St\"{u}rm-Liouville eigenvalue approach to analyze the model. In this model, we have calculated the critical temperature and the value of the condensation operator for two different values of $m^2$. We have also shown how the influence of noncommutative geometry modifies these quantities. Finally, by applying a linearized gauge field perturbation along the boundary direction, we calculated the holographic superconductor's DC conductivity using a self-consistent approach and then carrying out a more rigorous analysis. The noncommutative effects are also found to be present in the result of DC conductivity. We have also found that just like the commutative case, here the DC conductivity diverges due to the presence of a first order pole in the frequency regime.