标题： 导电性边界在探测膜模型中 显示英文标题

标题： Conductivity bounds in probe brane models

摘要： 我们讨论有限温度强耦合量子场论的电导率上下界，这些理论在线性响应范围内与探测膜模型全息对偶。 在一个探测极限下，无序完全通过不均匀背景电荷密度引入，我们在任意维度上找到了电导率的简单上下界。 在二维空间维度的场论中，我们证明即使在体度规中包含无序，这两个界限仍然存在。 我们讨论了在三维或更多空间维度中，当度规不均匀时，寻找电导率精确下界所面临的挑战。 显示英文摘要

摘要： We discuss upper and lower bounds on the electrical conductivity of finite temperature strongly coupled quantum field theories, holographically dual to probe brane models, within linear response. In a probe limit where disorder is introduced entirely through an inhomogeneous background charge density, we find simple lower and upper bounds on the electrical conductivity in arbitrary dimensions. In field theories in two spatial dimensions, we show that both bounds persist even when disorder is included in the bulk metric. We discuss the challenges with finding sharp lower bounds on conductivity in three or more spatial dimensions when the metric is inhomogeneous.