Conformal field theory and the web of quantum chaos diagnostics
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Publication:2185360
DOI10.1007/JHEP01(2020)175zbMATH Open1434.81106arXiv1910.14575WikidataQ112154059 ScholiaQ112154059MaRDI QIDQ2185360
Author name not available (Why is that?)
Publication date: 4 June 2020
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/1910.14575
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