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Chen, B; Guo, WZ; He, S; Wu, JQ; Chen, B (reprint author), Peking Univ, Dept Phys, Beijing 100871, Peoples R China.
Entanglement entropy for descendent local operators in 2D CFTs
Source PublicationJOURNAL OF HIGH ENERGY PHYSICS
Language英语
KeywordField Theories In Lower Dimensions Conformal And w Symmetry
AbstractWe mainly study the R,nyi entropy and entanglement entropy of the states locally excited by the descendent operators in two dimensional conformal field theories (CFTs). In rational CFTs, we prove that the increase of entanglement entropy and R,nyi entropy for a class of descendent operators, which are generated by onto the primary operator, always coincide with the logarithmic of quantum dimension of the corresponding primary operator. That means the R,nyi entropy and entanglement entropy for these descendent operators are the same as the ones of their corresponding primary operator. For 2D rational CFTs with a boundary, we confirm that the R,nyi entropy always coincides with the logarithmic of quantum dimension of the primary operator during some periods of the evolution. Furthermore, we consider more general descendent operators generated by on the primary operator. For these operators, the entanglement entropy and R,nyi entropy get additional corrections, as the mixing of holomorphic and anti-holomorphic Virasoro generators enhance the entanglement. Finally, we employ perturbative CFT techniques to evaluate the R,nyi entropy of the excited operators in deformed CFT. The R,nyi and entanglement entropies are increased, and get contributions not only from local excited operators but also from global deformation of the theory.
2015
Issue10Pages:173
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1007/JHEP10(2015)173
Indexed BySCI
Funding OrganizationNSFC [11275010, 11335012, 11325522] ; NSFC [11275010, 11335012, 11325522] ; NSFC [11275010, 11335012, 11325522] ; NSFC [11275010, 11335012, 11325522] ; Postgraduate Scholarship Program of China Scholarship Council ; Postgraduate Scholarship Program of China Scholarship Council ; Postgraduate Scholarship Program of China Scholarship Council ; Postgraduate Scholarship Program of China Scholarship Council ; JSPS postdoctoral fellowship ; JSPS postdoctoral fellowship ; JSPS postdoctoral fellowship ; JSPS postdoctoral fellowship ; National Natural Science Foundation of China [11305235] ; National Natural Science Foundation of China [11305235] ; National Natural Science Foundation of China [11305235] ; National Natural Science Foundation of China [11305235]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/20814
CollectionSCI期刊论文
Corresponding AuthorChen, B (reprint author), Peking Univ, Dept Phys, Beijing 100871, Peoples R China.
Recommended Citation
GB/T 7714
Chen, B,Guo, WZ,He, S,et al. Entanglement entropy for descendent local operators in 2D CFTs[J]. JOURNAL OF HIGH ENERGY PHYSICS,2015(10):173.
APA Chen, B,Guo, WZ,He, S,Wu, JQ,&Chen, B .(2015).Entanglement entropy for descendent local operators in 2D CFTs.JOURNAL OF HIGH ENERGY PHYSICS(10),173.
MLA Chen, B,et al."Entanglement entropy for descendent local operators in 2D CFTs".JOURNAL OF HIGH ENERGY PHYSICS .10(2015):173.
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