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Plumbing the Abyss: Black Ring Microstates
摘要：
我们构造了第一个光滑的、无视界的“微观态几何”，它具有与视界为宏观的BPS黑环相同的电荷、偶极电荷和角动量。这些解的几何形状与黑环完全相同，只是通常的无限喉道在很大的深度处被平滑地封闭。如果解保持U（1）x U（1）等距，那么这个深度受到通量量子化的限制，但是如果这种对称性被破坏，那么喉道可以通过调整经典几何模量来任意深。从AdS-CFT对应的角度来解释这些"深渊“（任意深度的光滑微观状态几何），提出了两个值得注意的选择：要么弦效应可以消除光滑低曲率超引力解的非常大的区域，要么D1-D5-P CFT具有量子临界点。深度依赖于模的解的存在也使我们能够定义"熵电梯“，这为研究BPS和近BPS黑洞的熵提供了一个新的工具。
英文摘要：
We construct the first smooth, horizonless ``microstate geometries'' that have the same charges, dipole charges and angular momenta as a BPS black ring whose horizon is macroscopic. These solutions have exactly the same geometry as black rings, except that the usual infinite throat is smoothly capped off at a very large depth. If the solutions preserve a U(1)x U(1) isometry, then this depth is limited by flux quantization but if this symmetry is broken then the throat can be made arbitrarily deep by tuning classical, geometric moduli. Interpreting these ``abysses'' (smooth microstate geometries of arbitrary depth) from the point of view of the AdS-CFT correspondence suggests two remarkable alternatives: either stringy effects can eliminate very large regions of a smooth low-curvature supergravity solution, or the D1-D5-P CFT has quantum critical points. The existence of solutions whose depth depends on moduli also enables us to define ``entropy elevators,'' and these provide a new tool for studying the entropy of BPS and near-BPS black holes.
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