Out-of-time-ordered correlators and purity in rational conformal field theories

DOI10.1093/PTEP/PTW157zbMATH Open1361.81132arXiv1602.06542OpenAlexW3104296726WikidataQ112308798 ScholiaQ112308798MaRDI QIDQ5347216

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Publication date: 22 May 2017

Published in: (Search for Journal in Brave)

Abstract: In this paper we investigate measures of chaos and entanglement in rational conformal field theories in 1+1 dimensions. First, we derive a universal formula for the late time value of the out-of-time-ordered correlators for this class of theories. Our universal result can be expressed as a particular combination of the modular S-matrix elements known as the anyon monodromy scalar. Next, in the explicit setup of a $SU(N{)}_k$ Wess-Zumino-Witten model, we compare the late time behavior of the out-of-time-ordered correlators and the purity. Interestingly, in the large-c limit, the purity grows logarithmically as in holographic theories; in contrast, the out-of-time-ordered correlators remain, in general, non-vanishing.

Full work available at URL: https://arxiv.org/abs/1602.06542

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