论文标题
弦/m理论中的黑洞到宇宙地平线：及时的边界和内部平均
Black hole to cosmic horizon microstates in string/M theory: timelike boundaries and internal averaging
论文作者
论文摘要
在本说明中，我们解决了弦/m理论实现DS观察者贴片全息图的明显障碍，从而找到了平均量子重力的新作用。可解决的$ t \ bar t（+λ_2）$变形最近提供了$ ds_3 $ cosmic Horizon的详细microstate计数，再现了由Anninos等人计算出的精致的Gibbons-Hawking熵以及正确的径向散装几何形状。在重力侧，变形将边界带到了黑洞地平线外，与DS宇宙视野无法区分，从而使连续传递到有界的DS斑块。在字符串/m理论中，AD/CFT和DS之间的关系涉及改变内部拓扑的振荡，例如用内部双曲线空间$ \ mathbb {h} $替换内部球体$ \ mathbb {s} $（并结合了不同的翘曲和保形因子）。我们将这两种方法连接起来，并指出ADS Black Hole和DS溶液之间额外尺寸的差异被内部平均在存在的时间表边界上被冲洗掉了。这有助于激励（a）弦乐/m理论解决方案中这种时间型边界的可能性进行详细的调查，并且我们采取了最初的步骤，以适当的liouville墙壁作为一种方法。
In this note, we resolve an apparent obstacle to string/M theory realizations of dS observer patch holography, finding a new role for averaging in quantum gravity. The solvable $T\bar T(+Λ_2)$ deformation recently provided a detailed microstate count of the $dS_3$ cosmic horizon, reproducing the refined Gibbons-Hawking entropy computed by Anninos et al along with the correct radial bulk geometry. On the gravity side, the deformation brings in the boundary to just outside a black hole horizon, where it is indistinguishable from the dS cosmic horizon, enabling a continuous passage to a bounded patch of dS. In string/M theory, the relationship between AdS/CFT and dS involves uplifts that change the internal topology, e.g. replacing an internal sphere $\mathbb{S}$ with an internal hyperbolic space $\mathbb{H}$ (and incorporating varying warp and conformal factors). We connect these two approaches, noting that the differences in the extra dimensions between AdS black hole and dS solutions are washed out by internal averaging in the presence of a timelike boundary skirting the horizon. This helps to motivate a detailed investigation into the possibility of such timelike boundaries in (A)dS solutions of string/M theory, and we take initial steps toward suitable generalizations of Liouville walls as one approach.
