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arXiv · 1812.10456

Entanglement and chaos in warped conformal field theories

Luis Apolo·Song He·Wei Song·Jianfei Xu·Junjie Zheng
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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.

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Luis Apolo, Song He, Wei Song, Jianfei Xu, Junjie Zheng. 2018-12-26. Entanglement and chaos in warped conformal field theories. https://doi.org/10.1007/jhep04(2019)009

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