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Entanglement and chaos in warped conformal field theories

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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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1812.10456.pdf
(Preprint), 427KB

EntanglementAndChaosInWarpedCo.pdf
(Publisher version), 499KB

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Citation

Apolo, L., He, S., Song, W., Xu, J., & Zheng, J. (2019). Entanglement and chaos in warped conformal field theories. Journal of high energy physics: JHEP, 2019(04): 009. doi:10.1007/JHEP04(2019)009.


Cite as: http://hdl.handle.net/21.11116/0000-0002-DC6A-0
Abstract
Various aspects of warped conformal field theories (WCFTs) are studied including entanglement entropy on excited states, the Renyi entropy after a local quench, and out-of-time-order four-point functions. Assuming a large central charge and dominance of the vacuum block in the conformal block expansion, (i) we calculate the single-interval entanglement entropy on an excited state, matching previous finite temperature results by changing the ensemble; and (ii) we show that WCFTs are maximally chaotic, a result that is compatible with the existence of black holes in the holographic duals. Finally, we relax the aforementioned assumptions and study the time evolution of the Renyi entropy after a local quench. We find that the change in the Renyi entropy is topological, vanishing at early and late times, and nonvanishing in between only for charged states in spectrally-flowed WCFTs.