By employing the holographic operator mixing technique to deal with coupled perturbations in the gauge/gravity duality, I numerically compute the real and imaginary parts of the diagonal and Hall AC conductivities in a strongly coupled quantum field theory dual to a bulk condensate of magnetic monopoles. The results obtained show that a conclusion previously derived in the literature, namely, the vanishing of holographic DC conductivities in 3-dimensional strongly coupled quantum field theories dual to a 4-dimensional bulk magnetic monopole condensate, also applies to the calculation of diagonal and Hall conductivities in the presence of a topological \(\theta \)-term. Therefore, the condensation of magnetic monopoles in the bulk is suggested as a rather general and robust mechanism to generate dual strongly coupled quantum field theories with zero DC conductivities. The interplay between frequency, \(\theta \)-angle and the characteristic mass scale of the monopole condensate on the results for the conductivities is also investigated.

中文翻译：

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对角和霍尔全息电导率与磁性单极子的大体积冷凝物成对

通过使用全息算子混合技术来处理轨距/重力对偶性中的耦合摄动，我用强耦合量子场论对磁性单极子的大体积凝聚态进行了对角和霍尔AC电导率的实部和虚部的数值计算。所得结果表明，先前文献中得出的结论，即与4维体磁单极子凝聚体成对的3维强耦合量子场论中全息直流电导率的消失，也适用于对角和霍尔拓扑\（\ theta \）存在下的电导率-术语。因此，建议将整体中的磁性单极子凝聚作为一种相当通用且鲁棒的机制，以生成零直流电导率的双重强耦合量子场论。还研究了电导率结果上频率\（\ theta \）角与单极冷凝物特征质量标度之间的相互作用。