论文标题
用全息图约束非相关的RG流动
Constraining Non-Relativistic RG Flows with Holography
论文作者
论文摘要
我们通过使用爱因斯坦 - 马克斯韦 - 斯卡尔（Einstein-Maxwell-Scalar）理论来检查非相关性全息RG流，这些理论支持在某种能量范围内破坏Lorentz不变性的几何形状。我们采用超电势形式主义，这有助于我们表征此设置中的径向流程，并揭示了许多通用功能。特别是，我们确定了在RG流下单调的几个数量。例如，我们表明折射索引通常是单调的。我们还构建了在支持非相关解决方案的爱因斯坦 - 标准理论中单调流动的超电势的组合，并在相对论极限中降低到已知的C功能。有趣的是，这种数量在各种黑洞解决方案中也表现出单调性，这暗示着更深的结构。最后，我们评论了这种单调性条件的细分以及与先前从纠缠熵获得的候选c功能的关系。
We examine non-relativistic holographic RG flows by working with Einstein-Maxwell-scalar theories which support geometries that break Lorentz invariance at some energy scale. We adopt the superpotential formalism, which helps us characterize the radial flow in this setup and bring to light a number of generic features. In particular, we identify several quantities that behave monotonically under RG flow. As an example, we show that the index of refraction is generically monotonic. We also construct a combination of the superpotentials that flows monotonically in Einstein-scalar theories supporting non-relativistic solutions, and which reduces to the known c-function in the relativistic limit. Interestingly, such quantity also exhibits monotonicity in a variety of black hole solutions to the full Einstein-Maxwell-scalar theory, hinting at a deeper structure. Finally, we comment on the breakdown of such monotonicity conditions and on the relation to a candidate c-function obtained previously from entanglement entropy.
