标题： 模空间中的测地线梯度流 显示英文标题

标题： Geodesic Gradient Flows in Moduli Space

摘要： 弦真空模空间中的测地线在弦现象学中是重要的对象。 在本文中，我们强调了一个简单的条件，该条件将膜张力，包括粒子质量，与模空间中的测地线联系起来。 即，当膜的标量电荷与张力比向量$-\nabla \log T$具有固定长度时，由膜张力的对数诱导的梯度流就是一条测地线。 我们证明这个条件在弦景观中的许多例子中都成立。 显示英文摘要

摘要： Geodesics in moduli spaces of string vacua are important objects in string phenomenology. In this paper, we highlight a simple condition that connects brane tensions, including particle masses, with geodesics in moduli spaces. Namely, when a brane's scalar charge-to-tension ratio vector $-\nabla \log T$ has a fixed length, then the gradient flow induced by the logarithm of the brane's tension is a geodesic. We show that this condition is satisfied in many examples in the string landscape.