论文标题
DE Sitter时空的重力猜想弱
Weak Gravity Conjecture in de Sitter space-time
论文作者
论文摘要
我们提出了通过研究带有带电的黑洞并比较重力和阿贝尔仪表力来对DE Sitter空间中弱重力猜想的概括。使用与平地相同的条件，即没有黑洞残留物，人们发现，对于给定的质量$ m $，应该有一个比最小值$ q _ {\ rm min}（m，l）$大的$ q $的状态，这取决于质量和de sitter radius $ l $ $ l $ $。在大的半径平面限制（大$ L $）中，$ q _ {\ rm min} \至m $导致已知结果$ q> m/\ sqrt {2} $，而在高度弯曲的情况下（小$ l $）$ q _ {\ rm min} $行为$ \ sqrt} $ {\ rm min} $。我们还讨论了以$ n = 1 $超级重力的测量R-对称性的示例。
We propose a generalisation of the Weak Gravity Conjecture in de Sitter space by studying charged black-holes and comparing the gravitational and an abelian gauge forces. Using the same condition as in flat space, namely the absence of black-hole remnants, one finds that for a given mass $m$ there should be a state with a charge $q$ bigger than a minimal value $q_{\rm min}(m,l)$, depending on the mass and the de Sitter radius $l$, in Planck units. In the large radius flat space limit (large $l$), $q_{\rm min}\to m$ leading to the known result $q>m/\sqrt{2}$, while in the highly curved case (small $l$) $q_{\rm min}$ behaves as $\sqrt{ml}$. We also discuss the example of the gauged R-symmetry in $N=1$ supergravity.
