标题： 从轴子全息理论看二维各向异性流体的热力学和直流电导率 显示英文标题

标题： Thermodynamics and DC conductivity of 2D anisotropic fluids from axion holography

摘要： 我们研究了一个在$2+1$维度中与渐近AdS黑洞膜相对应的强耦合有限密度各向异性流体，该黑洞膜是$3+1$维度中爱因斯坦-麦克斯韦-轴子理论的一个解。尽管存在各向异性，流体的热力学性质与共形流体一致。此外，我们证明当各向异性参数增加时，流体是稳定的。另外，我们分析了各向异性流体的直流电导率，表明其与平移对称性破缺引起的动量耗散相容。在各向异性非常大的极限情况下，我们发现直流电导率由于维度降低而消失。我们还发现，金属-绝缘体转变是由各向异性驱动的。 显示英文摘要

摘要： We investigate a strongly coupled finite-density anisotropic fluid in $2+1$ dimensions dual to an asymptotically AdS black brane that is a solution of Einstein-Maxwell-Axion theory in $3+1$ dimensions. Despite the anisotropy, the fluid thermodynamic properties align with those of a conformal fluid. Moreover, we show that the fluid is stable under the increase of the anisotropy parameter. Additionally, we analyse the DC conductivity of the anisotropic fluid, showing its compatibility with momentum dissipation due to translational symmetry breaking. In the limit of very large anisotropy we find that the DC conductivity vanishes as a consequence of dimensionality reduction. We also find that a metal-insulator transition arises driven by the anisotropy.