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

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

Pawel Caputa
(
- Nordita and
- Stockholm U. (main)
)
,
Tokiro Numasawa
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
Alvaro Veliz-Osorio
(
- Queen Mary, U. of London and
- Witwatersrand U.
)

Feb 21, 2016

10 pages

Published in:

PTEP 2016 (2016) 11, 113B06

Published: Nov 16, 2016

e-Print:

1602.06542 [hep-th]

DOI:

10.1093/ptep/ptw157

Report number:

NORDITA-2016-6,
YITP-16-10

View in:

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Abstract: (Oxford University Press)

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.

Note:

Minor typographical error corrected. Matches published version

Quantum information
AdS/CFT correspondence
Topological field theory
General
Theoretical Particle Physics
field theory: conformal: rational
central charge
field theory: topological
S-matrix: modular
dimension: 2

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