On string theory duals of Lifshitz-like fixed points
On string theory duals of Lifshitz-like fixed points
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DOI：
10.1088/1126-6708/2009/06/084
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发表时间：
2009-05
影响因子：
5.4
通讯作者：
T. Azeyanagi;Wei Li;T. Takayanagi
中科院分区：
文献类型：
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作者：
T. Azeyanagi;Wei Li;T. Takayanagi
我们提出了IIB型超引力解，预计是对偶的某些Lifshitz样的不动点与各向异性的尺度不变性。它们被期望描述一类D3-D 7系统，并且它们的有限温度推广是直接的。我们表明，存在的解决方案，这些各向异性的解决方案之间的IR和标准的AdS 5解决方案在UV插值。这预测各向异性RG流从熟悉的各向同性固定点到各向异性的。在我们的例子中，这些RG流是由杨-米尔斯理论中的非零θ角触发的，该θ角线性地依赖于空间坐标之一。我们研究这些背景周围的扰动，并讨论不稳定的可能性。我们还全息计算它们的热熵，粘度和纠缠熵。
We present type IIB supergravity solutions which are expected to be dual to certain Lifshitz-like fixed points with anisotropic scale invariance. They are expected to describe a class of D3-D7 systems and their finite temperature generalizations are straightforward. We show that there exist solutions that interpolate between these anisotropic solutions in the IR and the standard AdS5 solutions in the UV. This predicts anisotropic RG flows from familiar isotropic fixed points to anisotropic ones. In our case, these RG flows are triggered by a non-zero theta-angle in Yang-Mills theories that linearly depends on one of the spatial coordinates. We study the perturbations around these backgrounds and discuss the possibility of instability. We also holographically compute their thermal entropies, viscosities, and entanglement entropies.