We consider large-c n-point Virasoro blocks with $n-k$ background heavy operators and k perturbative heavy operators. Conformal dimensions of heavy operators scale linearly with large c, while splitting into background/perturbative operators assumes an additional perturbative expansion. Such conformal blocks can be calculated within the monodromy method that basically reduces to solving auxiliary Fuchsian second-order equation and finding monodromy of solutions. We show that there exist particular variables that we call holographic, use of which drastically simplifies the whole analysis. In consequence, we formulate the uniformization property of the large-c blocks which states that in the holographic variables their form depends only on the number of perturbative heavy operators. On the other hand, the holographic variables encode the metric in the bulk space so that the conformal blocks with the same number of perturbative operators are calculated by the same geodesic trees but on different geometries created by the background operators.

我们考虑大的cn点Virasoro块$ñ-ķ$背景重算子和k个摄动重算子。重算子的共形维数随c的增大线性增长，而分裂为背景/扰动算子则假定存在额外的扰动展开。可以在单峰方法中计算此类保形块，该方法基本上可以简化为求解辅助Fuchsian二阶方程并找到解的单峰。我们表明存在称为全息的特定变量，使用这些变量可以大大简化整个分析过程。结果，我们制定large-的均匀财产Ç指出在全息变量中它们的形式仅取决于微扰重算子的数量。另一方面，全息变量对体空间中的度量进行编码，以使具有相同数量扰动算子的共形块由相同的测地线树计算，但由背景算子创建的几何形状不同。