Note on ETH of descendant states in 2D CFT

Wu zhong Guo, Feng Li Lin, Jiaju Zhang

研究成果: 雜誌貢獻文章

10 引文 斯高帕斯(Scopus)

摘要

We investigate the eigenstate thermalization hypothesis (ETH) of highly excited descendant states in two-dimensional large central charge c conformal field theory. We use operator product expansion of twist operators to calculate the short interval expansions of entanglement entropy and relative entropy for an interval of length ℓ up to order ℓ12. Using these results to ensure ETH of a heavy state when compared with the canonical ensemble state up to various orders of c, we get the constraints on the expectation values of the first few quasiprimary operators in the vacuum conformal family at the corresponding order of c. Similarly, we also obtain the constraints from the expectation values of the first few Korteweg-de Vries charges. We check these constraints for some types of special descendant excited states. Among the descendant states we consider, we find that at most only the leading order ones of the ETH constraints can be satisfied for the descendant states that are slightly excited on top of a heavy primary state. Otherwise, the ETH constraints are violated for the descendant states that are heavily excited on top of a primary state.

原文英語
文章編號152
期刊Journal of High Energy Physics
2019
發行號1
DOIs
出版狀態已發佈 - 2019 一月 1

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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