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Entanglement entropy in (1+1)D CFTs with multiple local excitations

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He,  Song
Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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1802.08815.pdf
(Preprint), 319KB

JHEP05(2018)154.pdf
(Publisher version), 393KB

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Citation

Guo, W.-z., He, S., & Luo, Z.-X. (2018). Entanglement entropy in (1+1)D CFTs with multiple local excitations. Journal of High Energy Physics, 2018(05): 154. doi:10.1007/JHEP05(2018)154.


Cite as: https://hdl.handle.net/21.11116/0000-0000-F4B8-D
Abstract
In this paper, we use the replica approach to study the R\'enyi entropy $S_L$ of generic locally excited states in (1+1)D CFTs, which are constructed from the insertion of multiple product of local primary operators on vacuum. Alternatively, one can calculate the R\'enyi entropy $S_R$ corresponding to the same states using Schmidt decomposition and operator product expansion, which reduces the multiple product of local primary operators to linear combination of descendant operators. The equivalence $S_L=S_R$ translates into an identity in terms of the $F$ symbols and quantum dimensions for rational CFT, and the latter can be proved algebraically. This, along with a series of papers, gives a complete picture of how the quantum information quantities and the intrinsic structure of (1+1)D CFTs are consistently related.