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Title: Out-of-time-ordered correlators and purity in rational conformal field theories
Authors: Caputa, Paweł
Numasawa, Tokiro
Veliz-Osorio, Alvaro
Keywords: A61
Issue Date: Nov-2016
Publisher: Oxford University Press (OUP)
Journal title: Progress of Theoretical and Experimental Physics
Volume: 2016
Issue: 11
Thesis number: 113B06
Abstract: In this paper we investigate measures of chaos and entanglement in rational conformal field theories in 1 + 1 dimensions. First, we derive a 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 SS -matrix elements known as anyon monodromy scalar. Next, in the explicit setup of an SU(N)kSU(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- cc limit, the purity grows logarithmically as in holographic theories; in contrast, the out-of-time-ordered correlators remain, in general, nonvanishing.
Rights: © The Author(s) 2016. Published by Oxford University Press on behalf of the Physical Society of Japan.
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (, which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.Funded by SCOAP3
DOI(Published Version): 10.1093/ptep/ptw157
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