Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA and Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106, USA.
Phys Rev Lett. 2023 Mar 24;130(12):121501. doi: 10.1103/PhysRevLett.130.121501.
We construct initial data violating the anti-de Sitter Penrose inequality using scalars with various potentials. Since a version of the Penrose inequality can be derived from AdS/CFT, we argue that it is a new swampland condition, ruling out holographic UV completion for theories that violate it. We produce exclusion plots on scalar couplings violating the inequality, and we find no violations for potentials from string theory. In the special case where the dominant energy condition holds, we use general relativity techniques to prove the anti-de Sitter (AdS) Penrose inequality in all dimensions, assuming spherical, planar, or hyperbolic symmetry. However, our violations show that this result cannot be generically true with only the null energy condition, and we give an analytic sufficient condition for violation of the Penrose inequality, constraining couplings of scalar potentials. Like the Breitenlohner-Freedman bound, this gives a necessary condition for the stability of asymptotically AdS (AAdS) spacetimes.
我们使用具有各种势能的标量来构造违反反德西特彭罗斯不等式的初始数据。由于彭罗斯不等式的一个版本可以从 AdS/CFT 导出，我们认为它是一个新的沼泽地条件，排除了违反它的理论的全息紫外完成。我们针对违反不等式的标量耦合产生了排除图，并且我们没有发现弦论中违反它的情况。在主导能量条件成立的特殊情况下，我们使用广义相对论技术在所有维度上证明了反德西特（AdS）彭罗斯不等式，假设具有球形、平面或双曲对称性。然而，我们的违反表明，仅具有零能量条件，这个结果不可能普遍成立，我们给出了违反彭罗斯不等式的解析充分条件，限制了标量势的耦合。像 Breitenlohner-Freedman 边界一样，这为渐近 AdS (AAdS) 时空的稳定性给出了一个必要条件。
