Entanglement and chaos in warped conformal field theories

Apolo, Luis; He, Song; Song, Wei; Xu, Jianfei; Zheng, Junjie

doi:10.1007/JHEP04(2019)009

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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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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: https://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.