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Out-of-time-ordered correlators and purity in rational conformal field theories
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
Number of Authors: 3
2016 (English)In: Progress of Theoretical and Experimental Physics, ISSN 0375-9687, E-ISSN 2050-3911, no 11, 113B06Article in journal (Refereed) Published
Abstract [en]

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 S-matrix elements known as anyon monodromy scalar. Next, in the explicit setup of an 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, nonvanishing.

Place, publisher, year, edition, pages
2016. no 11, 113B06
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-140274DOI: 10.1093/ptep/ptw157ISI: 000393622200006OAI: oai:DiVA.org:su-140274DiVA: diva2:1081816
Available from: 2017-03-15 Created: 2017-03-15 Last updated: 2017-03-15Bibliographically approved

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Caputa, Paweł
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