论文标题
de Sitter空间中的岛屿
Islands in de Sitter space
论文作者
论文摘要
我们认为在2d de Sitter JT重力耦合到CFT中的黑洞，并纠缠于不一致的非肉体宇宙中的物质。追踪纠缠的物质将CFT留在密度矩阵中，其应力张量在De Sitter几何形状上进行反应，从而延长了黑洞地平线后面的虫洞。天真地，随着纠缠的强度的增加，纠缠物质的熵增加而没有约束，但一夫一妻制的特性预测，这种增长必须升级。我们通过副本技巧来计算熵，包括de Sitter几何形状的副本副本之间的虫洞，并在DE STINTER几何形状中找到传统的田间理论纠缠熵与极端“岛”表面积之间的竞争。黑洞和宇宙学的视野都在产生这种岛屿的后背几何形状中起作用，并且具有按照一夫一妻制要求稳定熵生长的作用。我们首先在将DE Sitter空间部分分解为间隔的情况下显示了这一点。然后，我们考虑紧凑的几何形状，并在恢复页面曲线的封闭宇宙的背景下对岛屿公式进行了新的解释。最后，我们评论了我们在空位空间空间中将建筑应用于宇宙学的应用。
We consider black holes in 2d de Sitter JT gravity coupled to a CFT, and entangled with matter in a disjoint non-gravitating universe. Tracing out the entangling matter leaves the CFT in a density matrix whose stress tensor backreacts on the de Sitter geometry, lengthening the wormhole behind the black hole horizon. Naively, the entropy of the entangling matter increases without bound as the strength of the entanglement increases, but the monogamy property predicts that this growth must level off. We compute the entropy via the replica trick, including wormholes between the replica copies of the de Sitter geometry, and find a competition between conventional field theory entanglement entropy and the surface area of extremal "islands" in the de Sitter geometry. The black hole and cosmological horizons both play a role in generating such islands in the back-reacted geometry, and have the effect of stabilizing the entropy growth as required by monogamy. We first show this in a scenario in which the de Sitter spatial section has been decompactified to an interval. Then we consider the compact geometry, and argue for a novel interpretation of the island formula in the context of closed universes that recovers the Page curve. Finally, we comment on the application of our construction to the cosmological horizon in empty de Sitter space.
