New properties of large-c conformal blocks from recursion relation

DOI DOI PDF Web Site 被引用文献6件 参考文献55件 オープンアクセス

書誌事項

公開日
2018-07
資源種別
journal article
権利情報
  • https://creativecommons.org/licenses/by/4.0/
  • https://creativecommons.org/licenses/by/4.0/
DOI
  • 10.1007/jhep07(2018)010
  • 10.48550/arxiv.1804.06171
公開者
Springer Science and Business Media LLC

説明

<jats:title>A<jats:sc>bstract</jats:sc> </jats:title> <jats:p>We study large <jats:italic>c</jats:italic> 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 <jats:italic>c</jats:italic> 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 <jats:italic>c</jats:italic> conformal blocks and also we find that the qualitative behavior of various large <jats:italic>c</jats:italic> blocks drastically changes when the dimensions of external primary states reach the value <jats:italic>c/</jats:italic>32. And we proceed to the study of blocks with heavy intermediate states <jats:italic>h</jats:italic> <jats:sub> <jats:italic>p</jats:italic> </jats:sub> and we find some simple dependence on heavy <jats:italic>h</jats:italic> <jats:sub> <jats:italic>p</jats:italic> </jats:sub> for large <jats:italic>c</jats:italic> 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 <jats:italic>c</jats:italic> CFTs.</jats:p>

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