标题： 湿地与标记模空间的几何学 显示英文标题

标题： Swampland and the Geometry of Marked Moduli Spaces

摘要： 我们定义了标记模空间的概念，即物理理论及其所有可观测量的参数空间。 在几何例子中，这与数学中的Teichmüller空间概念一致。 我们提出了关于标记模空间几何的两个新的Swampland原理：我们猜想标记模空间总是可缩的，并且相对于其物理度量，任意两点之间都有唯一的测地线连接。 我们为具有8个或更多超电荷的理论提供了这些猜想的有力证据。 显示英文摘要

摘要： We define the notion of a marked moduli space as the parameter space of a physical theory together with all of its observables. In geometric examples, this coincides with the mathematical notion of Teichm\"uller space. We propose two new Swampland principles about the geometry of marked moduli spaces: We conjecture that a marked moduli space is always contractible, and moreover, that there is a unique geodesic connecting any pair of points in it with respect to its physical metric. We provide strong evidence for these conjectures for theories with 8 or more supercharges.