论文标题
渐近线紧凑型重力界限
Weak Gravity Bounds in Asymptotic String Compactifications
论文作者
论文摘要
我们研究了BPS状态在四维$ \ MATHCAL {N} = 2 $超级重力中的电荷与质量比率，这是由Calabi-yau型IIB字符串理论的三倍压缩引起的。我们提出了一个对复杂结构模量空间中所有限制有效的渐近电荷与质量比的公式。这是通过使用SL（2）结构在任何渐近霍奇理论所描述的任何限制中实现的。渐近电荷到质量公式适用于渐近降压剂的SL（2） - 元素状态。使用此公式，我们确定形成电力BPS黑洞极端区域的椭圆形的半径，这使我们在这些理论的电荷与质量比上具有一般的渐近界限。最后，我们评论了这些弱重力猜想的界限与它们在渐近de Sitter的猜想和Swampland距离猜想中如何相关。
We study the charge-to-mass ratios of BPS states in four-dimensional $\mathcal{N}=2$ supergravities arising from Calabi-Yau threefold compactifications of Type IIB string theory. We present a formula for the asymptotic charge-to-mass ratio valid for all limits in complex structure moduli space. This is achieved by using the sl(2)-structure that emerges in any such limit as described by asymptotic Hodge theory. The asymptotic charge-to-mass formula applies for sl(2)-elementary states that couple to the graviphoton asymptotically. Using this formula, we determine the radii of the ellipsoid that forms the extremality region of electric BPS black holes, which provides us with a general asymptotic bound on the charge-to-mass ratio for these theories. Finally, we comment on how these bounds for the Weak Gravity Conjecture relate to their counterparts in the asymptotic de Sitter Conjecture and Swampland Distance Conjecture.
