TY - JOUR
T1 - Conformal field theory and the web of quantum chaos diagnostics
AU - Kudler-Flam, Jonah
AU - Nie, Laimei
AU - Ryu, Shinsei
N1 - Funding Information:
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Publisher Copyright:
© 2020, The Author(s).
PY - 2020/1/1
Y1 - 2020/1/1
N2 - We study three prominent diagnostics of chaos and scrambling in the context of two-dimensional conformal field theory: the spectral form factor, out-of-time-ordered correlators, and unitary operator entanglement. With the observation that all three quantities may be obtained by different analytic continuations of the torus partition function, we address the connections and distinctions between the information that each quantity provides us. In this process, we study the emergence of irrationality from “large-N” limits of rational conformal field theories (RCFTs) as well as the explicit breakdown of rationality for theories with central charges greater than the number of their conserved currents. Our analysis begins to elucidate the intermediate dynamical behavior of theories that bridge the gap between integrable RCFTs and maximally chaotic holographic CFTs.
AB - We study three prominent diagnostics of chaos and scrambling in the context of two-dimensional conformal field theory: the spectral form factor, out-of-time-ordered correlators, and unitary operator entanglement. With the observation that all three quantities may be obtained by different analytic continuations of the torus partition function, we address the connections and distinctions between the information that each quantity provides us. In this process, we study the emergence of irrationality from “large-N” limits of rational conformal field theories (RCFTs) as well as the explicit breakdown of rationality for theories with central charges greater than the number of their conserved currents. Our analysis begins to elucidate the intermediate dynamical behavior of theories that bridge the gap between integrable RCFTs and maximally chaotic holographic CFTs.
KW - AdS-CFT Correspondence
KW - Conformal Field Theory
KW - Conformal and W Symmetry
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U2 - 10.1007/JHEP01(2020)175
DO - 10.1007/JHEP01(2020)175
M3 - Article
AN - SCOPUS:85078750003
SN - 1126-6708
VL - 2020
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 1
M1 - 175
ER -