论文标题
penrose不平等作为对量子重力低能量极限的限制
The Penrose Inequality as a Constraint on the Low Energy Limit of Quantum Gravity
论文作者
论文摘要
我们使用具有各种潜力的标量构建了违反反desitter penrose不平等的数据。由于可以从广告/CFT中得出penrose不平等的版本,因此我们认为这是一种新的Swampland条件,排除了违反该理论的全息紫外线完成。我们在违反不平等的标量耦合上产生了排除图,我们发现字符串理论的潜力没有违规。在主要的能量条件保持的特殊情况下,我们使用GR技术在所有维度上证明ADS Penrose不等式,假设球形,平面或双曲线对称性。但是,我们的违规情况表明,仅在无效的能量条件下,这一结果是不可能的,我们为违反Penrose不平等的行为提供了足够的条件,从而限制了标量电位的耦合。像Breitenlohner-Freedman Bound一样,这为AD的稳定性提供了必要的条件。
We construct initial data violating the Anti-deSitter 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 GR techniques to prove the 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 AdS.