论文标题
使用BPS极端黑洞合并弱重力和距离猜想
Merging the Weak Gravity and Distance Conjectures Using BPS Extremal Black Holes
论文作者
论文摘要
我们分析了BPS状态在$ \ MATHCAL {N} = 2 $ IIB字符串理论上的Calabi-Yau类型的压缩的一般无限距离限制中的质量对质量结构，并使用结果促进了在存在多重轨迹和鳞片场的情况下Swampland猜想的表述。我们表明，BPS与这些无限距离限制的黑洞极值相吻合，并且BPS状态的电荷对质量向量位于一个仅具有两个非脱位方向的退化椭圆形上，而与模量或量规场的数量无关。我们提供了椭圆形的主要半径的数值，以接近的奇异性分类。我们使用这些发现来告知Swampland距离的猜想，该猜想指出，塔的塔沿着地球轨迹呈指数呈指数光向无限的场距离。我们按照黑洞极值结合的质量衰减率$λ$在质量衰减率上放置了一般界限，这在我们的设置中意味着$λ\ geq 1/\ sqrt {6} $。我们希望，只要量规耦合在无限的场距离限制中变小，这个框架将持续超过$ \ MATHCAL {N} = 2 $。
We analyze the charge-to-mass structure of BPS states in general infinite-distance limits of $\mathcal{N}=2$ compactifications of Type IIB string theory on Calabi-Yau three-folds, and use the results to sharpen the formulation of the Swampland Conjectures in the presence of multiple gauge and scalar fields. We show that the BPS bound coincides with the black hole extremality bound in these infinite distance limits, and that the charge-to-mass vectors of the BPS states lie on degenerate ellipsoids with only two non-degenerate directions, regardless of the number of moduli or gauge fields. We provide the numerical value of the principal radii of the ellipsoid in terms of the classification of the singularity that is being approached. We use these findings to inform the Swampland Distance Conjecture, which states that a tower of states becomes exponentially light along geodesic trajectories towards infinite field distance. We place general bounds on the mass decay rate $λ$ of this tower in terms of the black hole extremality bound, which in our setup implies $λ\geq 1/\sqrt{6}$. We expect this framework to persist beyond $\mathcal{N}=2$ as long as a gauge coupling becomes small in the infinite field distance limit.
