The much-discussed Weak Gravity Conjecture is interesting and important in both the asymptotically flat and the asymptotically AdS contexts. In the latter case, it is natural to ask what conditions it (and the closely related Cosmic Censorship principle) imposes, via gauge-gravity duality, on the boundary field theory. We find that these conditions take the form of lower bounds on the number of colours in this theory: that is, the WGC and Censorship might (depending on the actual sizes of the bounds) enforce the familiar holographic injunction that this number should be “large”. We explicitly estimate lower bounds on this number in the case of the application of holography to the quark-gluon plasma produced in heavy ion collisions. We find that classical Censorship alone prohibits realistically small values for the number of colours, but that the WGC offers hope of resolving this problem.

备受争议的弱重力猜想在渐近平坦和渐近AdS上下文中，它都是有趣且重要的。在后一种情况下，自然会问它（通过密切相关的宇宙审查原则）通过规范重力对偶对边界场理论施加什么条件。我们发现这些条件在该理论中采用了颜色数量下限的形式：也就是说，WGC和审查制度可能（取决于边界的实际大小）强制执行熟悉的全息禁令，即该数量应为“大”。 ”。在将全息技术应用于在重离子碰撞中产生的夸克-胶子等离子体的情况下，我们明确估计了该数字的下限。我们发现仅经典的审查制度就禁止颜色数量的现实小值，但是WGC提供了解决此问题的希望。