Note on ETH of descendant states in 2D CFT
Abstract 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 rel...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP01(2019)152 |
| _version_ | 1830489949921607680 |
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| author | Wu-zhong Guo Feng-Li Lin Jiaju Zhang |
| author_facet | Wu-zhong Guo Feng-Li Lin Jiaju Zhang |
| author_sort | Wu-zhong Guo |
| collection | DOAJ |
| description | Abstract 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 ℓ 12. 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. |
| first_indexed | 2024-12-21T19:45:44Z |
| format | Article |
| id | doaj.art-e567f122edfb426ea356519b82e8c3ac |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-21T19:45:44Z |
| publishDate | 2019-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-e567f122edfb426ea356519b82e8c3ac2022-12-21T18:52:20ZengSpringerOpenJournal of High Energy Physics1029-84792019-01-012019113210.1007/JHEP01(2019)152Note on ETH of descendant states in 2D CFTWu-zhong Guo0Feng-Li Lin1Jiaju Zhang2Physics Division, National Center for Theoretical Sciences, National Tsing Hua UniversityDepartment of Physics, National Taiwan Normal UniversityDipartimento di Fisica G. Occhialini, Università degli Studi di Milano-BicoccaAbstract 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 ℓ 12. 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.http://link.springer.com/article/10.1007/JHEP01(2019)152AdS-CFT CorrespondenceConformal Field TheoryGauge-gravity correspondence |
| spellingShingle | Wu-zhong Guo Feng-Li Lin Jiaju Zhang Note on ETH of descendant states in 2D CFT Journal of High Energy Physics AdS-CFT Correspondence Conformal Field Theory Gauge-gravity correspondence |
| title | Note on ETH of descendant states in 2D CFT |
| title_full | Note on ETH of descendant states in 2D CFT |
| title_fullStr | Note on ETH of descendant states in 2D CFT |
| title_full_unstemmed | Note on ETH of descendant states in 2D CFT |
| title_short | Note on ETH of descendant states in 2D CFT |
| title_sort | note on eth of descendant states in 2d cft |
| topic | AdS-CFT Correspondence Conformal Field Theory Gauge-gravity correspondence |
| url | http://link.springer.com/article/10.1007/JHEP01(2019)152 |
| work_keys_str_mv | AT wuzhongguo noteonethofdescendantstatesin2dcft AT fenglilin noteonethofdescendantstatesin2dcft AT jiajuzhang noteonethofdescendantstatesin2dcft |