AI 中文总结
从量子信息理论角度，通过克雷洛夫扩散复杂度研究弱引力猜想。以带电热场双重态为例，发现黑洞极值极限时克雷洛夫扩散冻结，纳入带电物质后，打开放电通道冻结解除，表明猜想可用复杂度解释，揭示多领域新联系。
AI 中文摘要
我们通过克雷洛夫扩散复杂度的行为，提出了一种关于弱引力猜想的量子信息理论观点。对于与反德西特 - 赖斯纳 - 诺德斯特龙黑洞全息对偶的带电热场双重态，我们表明黑洞一侧的极值极限伴随着克雷洛夫扩散的有效冻结。在这种情况下，返回振幅有效地变为纯相位，对偶量子态在克雷洛夫空间中不再非平凡地扩散。然后我们纳入带电物质并研究近视界区域中施温格对产生的影响。在这种半经典近极值分析中，一旦放电通道打开，冻结行为就会解除，动力学再次变得非平凡。这表明弱引力猜想可能在存在可用放电通道时不存在精确冻结方面有基于复杂度的解释。更广泛地说，我们的结果指出了沼泽地计划、黑洞物理学和量子信息理论之间的新联系。
英文摘要
We propose a quantum-information-theoretic perspective on the Weak Gravity Conjecture through the behavior of Krylov spread complexity. For a charged thermofield double state holographically dual to an AdS Reissner--Nordström black hole, we show that the extremal limit on the black-hole side is accompanied by an effective freezing of Krylov spreading. In this regime, the return amplitude becomes effectively a pure phase, and the dual quantum state ceases to spread nontrivially in Krylov space. We then incorporate charged matter and study the effect of Schwinger pair production in the near-horizon region. Within this semiclassical near-extremal analysis, the frozen behavior is lifted once the discharge channel is opened, and the dynamics become nontrivial again. This suggests that the Weak Gravity Conjecture may admit a complexity-based interpretation in terms of the absence of exact freezing in the presence of an available discharge channel. More broadly, our results point to a new connection between the swampland program, black-hole physics, and quantum information theory.
Comments25 pages, 1 figure
