轴子全息超导体中的旋转与各向异性标度：AdS$_4$ 对比 Lifshitz$_5$
Rotation and Anisotropic Scaling in Axionic Holographic Superconductors: AdS$_4$ versus Lifshitz$_5$
查看机构详情
- Universidad Católica del Maule（天主教马乌莱大学）
机构由 AI 辅助整理，请以论文原文为准。
浏览论文内容
中文总结 AI 辅助
本文通过比较AdS$_4$和Lifshitz$_5$两种旋转轴子黑洞的探针超导扇区，发现旋转降低凝聚振幅，而增大动力学指数增强凝聚，揭示了旋转与各向异性标度对凝聚的竞争作用。
中文摘要 AI 辅助
全息超导中的一个突出问题是旋转与非相对论标度对称性如何竞争以改变凝聚的开始。我们通过比较两个精确旋转轴子黑洞的探针超导扇区来解决这个问题：一个是四维渐近反德西特解，由非最小耦合标量场修饰；另一个是五维渐近Lifshitz解，其中 $z \in (2,3)$。将两个度量写成共同的稳态形式，得到一个主标量方程，其中旋转通过共转势 $A_t-N^xA_x$ 进入。该方程解释了为什么探针规范场的时间分量和空间分量不能独立处理。[1,2] 中报告的数值轮廓表明，与旋转相关的关联形变在两个背景中都降低了凝聚振幅，而在固定 $J$ 下增加动力学指数会增强Lifshitz凝聚。由于参数 $\alpha$ 和 $J$ 也修改了支撑相应精确几何的物质量，这些趋势应被解释为完整关联族的性质，而非机械旋转本身的普遍效应。
英文摘要
An outstanding question in holographic superconductivity is how rotation and non-relativistic scaling symmetries compete to modify the onset of condensation. We address this by comparing the probe superconductor sectors of two exact rotating axionic black holes: a four-dimensional asymptotically anti-de Sitter solution dressed by a non-minimally coupled scalar, and a five-dimensional asymptotically Lifshitz solution with $z \in (2,3)$. Writing both metrics in a common stationary form yields a master scalar equation in which rotation enters through the co-rotating potential $A_t-N^xA_x$. This equation explains why the temporal and spatial components of the probe gauge field cannot be treated independently. The numerical profiles reported in [1,2] indicate that the correlated deformation associated with rotation reduces the condensate amplitude in both backgrounds, whereas increasing the dynamical exponent at fixed $J$ enhances the Lifshitz condensate. Since the parameters $α$ and $J$ also modify the matter fields supporting the corresponding exact geometries, these trends should be interpreted as properties of complete correlated families rather than as universal effects of mechanical rotation alone.
