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A research on the spatially inhomogeneous effects of AdS/CFT duality

AdS/CFT二元性的空间非均匀效应研究

基本信息

批准号：
23740200
负责人：
MAEDA kengo
金额：
$ 1.91万
依托单位：
Shibaura Institute of Technology
依托单位国家：
日本
项目类别：
Grant-in-Aid for Young Scientists (B)
财政年份：
2011
资助国家：
日本
起止时间：
2011 至 2013
项目状态：
已结题

项目摘要

The AdS/CFT duality is now an extremely useful tool to understand strongly coupled condensed matter physics.Over the past few years a considerable number of studies have been made on highly symmetric AdS geometries with translational or rotational symmetries. In this research, we investigate the strongly coupled condensed matter physics via AdS/CFT duality by taking into account the effects of inhomogeneous or anisotropic effects on the bulk geometries. I first constructed spatially inhomogenous or anisotropic AdS black brane solutions and investigated the geometric properties.I also found that the lattice effect does not break the superconducting state within the perturbation under the probe limit. Furthermore, we investigated the dissipation of an electric current by umklapp scattering from the perspective of black hole rigidity theorem.

AdS/CFT 对偶性现在是理解强耦合凝聚态物理的一个非常有用的工具。在过去的几年里，人们对具有平移或旋转对称性的高度对称 AdS 几何形状进行了大量研究。在这项研究中，我们通过 AdS/CFT 对偶性研究强耦合凝聚态物理，同时考虑非均匀或各向异性效应对整体几何形状的影响。我首先构造了空间不均匀或各向异性的AdS黑膜解并研究了其几何性质。我还发现晶格效应在探测极限下的摄动内不会破坏超导态。此外，我们从黑洞刚性定理的角度研究了umklapp散射对电流的耗散。