arXiv 0901.05992009-01hep-th

AdS/CMT中的各向异性重力解

Anisotropic gravity solutions in AdS/CMT

Shesansu Pal

备注：: 1+16 pp, v2 typos corrected; v3 signs in the generator of scaling corrected

摘要：

我们通过打破洛伦兹对称性到它的子群来构造引力解，这意味着存在伽利略对称性，但没有旋转和助推不变性。这个解决方案显示出沿时间和空间方向以及空间方向之间的各向异性行为，更有趣的是，它显示了度量以及形式字段所需的精确缩放对称性。从场论的观点，它描述了一个理论，它尊重5 Ae标度对称性，$t\to λ^{z_1}t, x\to λ^{z_2}t, y\to λy$，为$z_1\neq z_2$，以及平移对称性与时间和空间方向，这意味着我们已经找到了一个非旋转的，但从双场论的观点Lifshitz类不动点。我们还讨论了看到这样的Lifshitz点的外观所需的生成器的最小数量。在1+1维场论中，它是3，而对于2+1维场论，它是4。

英文摘要：

We have constructed gravity solutions by breaking the Lorentzian symmetry to its subgroup, which means there is Galilean symmetry but without the rotational and boost invariance. This solution shows anisotropic behavior along both the temporal and spatial directions as well as among the spatial directions and more interestingly, it displays the precise scaling symmetry required for metric as well as the form fields. From the field theory point of view, it describes a theory which respects th5Ae scaling symmetry, $t\to λ^{z_1}t, x\to λ^{z_2}t, y\to λy$, for $z_1\neq z_2$, as well as the translational symmetry associated to both time and space directions, which means we have found a non-rotational but Lifshitz-like fixed points from the dual field theory point of view. We also discuss the minimum number of generators required to see the appearance of such Lifshitz points. In 1+1 dimensional field theory, it is 3 and for 2+1 dimensional field theory, the number is 4.

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摘要：

英文摘要：

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