arXiv 2201.020142022-01hep-thgr-qc

楔形全息术的有效Action、光谱和第一定律

Effective Action, Spectrum and First Law of Wedge Holography

Peng-Ju Hu, Rong-Xin Miao

备注：: 41 pages, 14 figures, references added, minor revision accepted for publication in JHEP
DOI：: 10.1007/JHEP03(2022)145

摘要：

本文研究了一种新的双全息模型--楔形全息的有效作用量、质量谱和纠缠熵第一定律。我们计算了量子引力对膜的有效作用。在微扰公式中，它是由Pauli-Fierz作用的无限和给出的。在非微扰公式中，有效作用量由高阶导数引力和物质作用量组成。通常情况下，高阶导数引力可以重整化，但会遇到鬼问题。在我们的例子中，由于膜上的有效理论等价于体上的爱因斯坦引力，所以它一定是没有鬼影的。我们注意到物质作用在消除鬼魂中起着重要的作用。我们还证明了膜上的高阶导数引力等价于一个无鬼的多重引力。此外，我们证明了有效作用量产生正确的Weyl反常。有趣的是，虽然膜上的有效作用量是一个无限高导数引力的塔，但全息外尔异常与爱因斯坦引力完全相同。我们还分析了楔形全息术的质量谱。值得注意的是，在楔形全息中，在世界尽头的膜上总是存在一个无质量的引力子模。这是因为我们在两个膜上都施加了诺依曼边界条件。另一方面，如果在膜世界理论和AdS/BCFT中对其中一个膜施加Dirichlet边界条件，则无质量模消失。最后，我们验证了楔形全息的纠缠熵第一定律。有趣的是，大规模的波动是无关的全息纠缠熵的一阶微扰。因此，在许多方面，膜上的有效理论表现得像无质量的爱因斯坦引力。

英文摘要：

In this paper, we study the effective action, the mass spectrum and the first law of entanglement entropy for a novel doubly holographic model called wedge holography. We work out the effective action of quantum gravity on the branes. In the perturbative formulation, it is given by an infinite sum of Pauli-Fierz actions. In the non-perturbative formulation, the effective action is composed of a higher derivative gravity and a matter action. Usually, a higher derivative gravity can be renormalizable but suffers the ghost problem. For our case, since the effective theory on the brane is equivalent to Einstein gravity in the bulk, it must be ghost-free. We notice that the matter action plays an important role in eliminating the ghost. We also provide evidences that the higher derivative gravity on the brane is equivalent to a ghost-free multi-gravity. Besides, we prove that the effective action yields the correct Weyl anomaly. Interestingly, although the effective action on the brane is an infinite tower of higher derivative gravity, the holographic Weyl anomaly is exactly the same as that of Einstein gravity. We also analyze the mass spectrum of wedge holography. Remarkably, there is always a massless mode of gravitons on the end-of-the-world branes in wedge holography. This happens because one imposes Neumann boundary condition on both branes. On the other hand, the massless mode disappears if one imposes Dirichlet boundary condition on one of the branes as in brane world theory and AdS/BCFT. Finally, we verify the first law of entanglement entropy for wedge holography. Interestingly, the massive fluctuations are irrelevant to the first order perturbation of the holographic entanglement entropy. Thus, in many aspects, the effective theory on the brane behaves like massless Einstein gravity.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文