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Out-of-time-ordered correlators and purity in rational conformal field theories
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- Caputa, Paweł (author)
- Stockholms universitet,Nordiska institutet för teoretisk fysik (Nordita)
- Numasawa, Tokiro (author)
- Veliz-Osorio, Alvaro (author)
- (creator_code:org_t)
- 2016-11-16
- 2016
- English.
- In: Progress of Theoretical and Experimental Physics. - : Oxford University Press (OUP). - 0375-9687 .- 2050-3911. ; :11
- Journal article (peer-reviewed)
Abstract
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- 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.
Subject headings
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
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- ref (subject category)
- art (subject category)
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