In this paper, we analyze Virasoro conformal blocks in the limit when the operator exchange dimension is taking to be large in comparison with the other parameters dependence of the block. We do this by using Zamolodchikov's recursion relations. We found a dramatically simplified solution at leading order in an inverse power expansion in large exchange conformal dimension in terms of a quasi-modular form in an Eisenstein series representation. We compare this solution with existing results obtained previously by using AGT correspondence.

中文翻译：

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大交换尺寸的Virasoro块

在本文中，当算子交换维数与该块的其他参数相关性相比较大时，我们将在极限内分析Virasoro保形块。我们通过使用Zamolodchikov的递归关系来做到这一点。我们以爱森斯坦级数表示形式中的准模数形式，在大交换保形维中的逆功率扩展中找到了一种领先的次序大大简化的解决方案。我们将此解决方案与以前使用AGT对应关系获得的现有结果进行比较。