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arXiv 1406.4152hep-th
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全息RG流的有效理论

An Effective Theory for Holographic RG Flows

Jared Kaplan, Junpu Wang

摘要:

我们研究了全息CFT不动点之间RG流引起的量子作用。为此目的,我们介绍了一个通用的整体有效理论的戈德斯通玻色子的破缺时空对称性,提供了一个AdS模拟的EFT的通货膨胀。在两个维度上,我们使用有效理论来计算光子作用,以及UV和IR共形异常,而没有进一步的假设。在更高的维度中,我们采取类似于暴胀中慢卷假设的“慢流”极限,在这种情况下,我们获得了介子作用,重点是与A型异常之差成比例的项。为了验证我们的方法正确区分A型异常和其他异常,我们在引力作用量中加入了高斯-博内项。

英文摘要:

We study the dilaton action induced by RG flows between holographic CFT fixed points. For this purpose we introduce a general bulk effective theory for the goldstone boson of the broken spacetime symmetry, providing an AdS analog of the EFT of Inflation. In two dimensions, we use the effective theory to compute the dilaton action, as well as the UV and IR conformal anomalies, without further assumptions. In higher dimensions we take a `slow-flow' limit analogous to the assumption of slow-roll in Inflation, and in this context we obtain the dilaton action, focusing on terms proportional to the difference of the A-type anomalies. We include Gauss-Bonnet terms in the gravitational action in order to verify that our method correctly differentiates between A-type and other anomalies.

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