Scrambling without chaos in RCFT
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 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.
Cite
@article{arxiv.1602.06542,
title = {Scrambling without chaos in RCFT},
author = {Pawel Caputa and Tokiro Numasawa and Alvaro Veliz-Osorio},
journal= {arXiv preprint arXiv:1602.06542},
year = {2017}
}
Comments
Minor typographical error corrected. Matches published version