New properties of large-c conformal blocks from recursion relation
New properties of large-c conformal blocks from recursion relation
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DOI：
10.1007/jhep07(2018)010
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发表时间：
2018-04
影响因子：
5.4
通讯作者：
Yuya Kusuki
中科院分区：
文献类型：
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作者：
Yuya Kusuki
我们研究已知极限之外的大型c共形块体。这项工作似乎很难，但通过使用Zamolodchikov递归关系在数值上是可能的。结果发现，对于任意通道和不同的内部维度，具有两个不同维度的一对大c共形块具有一些新的性质。对于轻中间态，我们得到了大c共形块的Cardy-like渐近公式，并且当外部基态的维度达到c/32时，各种大c块的定性行为发生了很大的变化。我们继续研究具有重中间态Hp的块，我们发现对于大C块，对重Hp有一些简单的依赖关系。例如，本文的结果可以应用于OTOC或纠缠熵的计算。最后，对该方法在大型CFT中的共形自举问题的应用进行了评述。
We study large c conformal blocks outside the known limits. This work seems to be hard, but it is possible numerically by using the Zamolodchikov recursion relation. As a result, we find new some properties of large c conformal blocks with a pair of two different dimensions for any channel and with various internal dimensions. With light intermediate states, we find a Cardy-like asymptotic formula for large c conformal blocks and also we find that the qualitative behavior of various large c blocks drastically changes when the dimensions of external primary states reach the value c/32. And we proceed to the study of blocks with heavy intermediate states h p and we find some simple dependence on heavy h p for large c blocks. The results in this paper can be applied to, for example, the calculation of OTOC or Entanglement Entropy. In the end, we comment on the application to the conformal bootstrap in large c CFTs.