论文标题
两个马鞍的故事
A Tale of Two Saddles
论文作者
论文摘要
我们在计算JT重力的生成功能中发现了一个新的壳复制孔洞。我们表明，这种马鞍的作用低于断开的鞍座，并且在限制对真正的洛伦兹部分的稳定性方面，但否则可能是不稳定的。因此，经典生成功能的行为可能在很大程度上取决于允许扰动的特征。作为分析的一部分，我们提供了LM风格的结构，用于计算复制流形的壳动作，即使边界的数量接近零，包括一种单步复制对称性破坏，这是捕获新鞍座的贡献所必需的。我们的结果对量子校正是可靠的。实际上，我们发现证据表明这种纠正有时可能会稳定这种新的马鞍。
We find a new on-shell replica wormhole in a computation of the generating functional of JT gravity coupled to matter. We show that this saddle has lower action than the disconnected one, and that it is stable under restriction to real Lorentzian sections, but can be unstable otherwise. The behavior of the classical generating functional thus may be strongly dependent on the signature of allowed perturbations. As part of our analysis, we give an LM-style construction for computing the on-shell action of replicated manifolds even as the number of boundaries approaches zero, including a type of one-step replica symmetry breaking that is necessary to capture the contribution of the new saddle. Our results are robust against quantum corrections; in fact, we find evidence that such corrections may sometimes stabilize this new saddle.
