论文标题
半古典3D重力作为大CFT的平均值
Semiclassical 3D gravity as an average of large-c CFTs
论文作者
论文摘要
在三个维度上对重力的二维CFT双重理论必须具有较大的中央电荷$ c $和稀疏的低能谱。这通过共形自举构成了CFT状态的OPE系数和密度。我们通过对受自举约束的OPE系数进行平均而定义了CFT数据的集合，并证明该集成繁殖的半典型3D重力中的计算。我们分析了各种引力溶液，包括纯爱因斯坦重力和重力与大量点颗粒，包括具有多个边界的欧几里得虫洞和具有单个边界的较高拓扑空间。在所有情况下，我们都会发现重力的壳动作与大型$ c $的合奏平均CFT一致。在计算它们的情况下，一环校正也匹配。我们还表明，批量有效理论具有虫洞引起的随机耦合，从而对Coleman，Giddings和Strominger的机制提供了受控的半经典实现。
A two-dimensional CFT dual to a semiclassical theory of gravity in three dimensions must have a large central charge $c$ and a sparse low energy spectrum. This constrains the OPE coefficients and density of states of the CFT via the conformal bootstrap. We define an ensemble of CFT data by averaging over OPE coefficients subject to these bootstrap constraints, and show that calculations in this ensemble reproduce semiclassical 3D gravity. We analyze a wide variety of gravitational solutions, both in pure Einstein gravity and gravity coupled to massive point particles, including Euclidean wormholes with multiple boundaries and higher topology spacetimes with a single boundary. In all cases we find that the on-shell action of gravity agrees with the ensemble-averaged CFT at large $c$. The one-loop corrections also match in the cases where they have been computed. We also show that the bulk effective theory has random couplings induced by wormholes, providing a controlled, semiclassical realization of the mechanism of Coleman, Giddings, and Strominger.
