Conformal field theory and the web of quantum chaos diagnostics
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 an...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-01-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2020)175 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1823863488003440640 |
|---|---|
| author | Jonah Kudler-Flam Laimei Nie Shinsei Ryu |
| author_facet | Jonah Kudler-Flam Laimei Nie Shinsei Ryu |
| author_sort | Jonah Kudler-Flam |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-f833b045ac494728bf65ebc72b3edd1c |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-f833b045ac494728bf65ebc72b3edd1c2025-02-09T12:06:26ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020113310.1007/JHEP01(2020)175Conformal field theory and the web of quantum chaos diagnosticsJonah Kudler-Flam0Laimei Nie1Shinsei Ryu2Kadanoff Center for Theoretical Physics, University of ChicagoKadanoff Center for Theoretical Physics, University of ChicagoKadanoff Center for Theoretical Physics, University of ChicagoAbstract 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.https://doi.org/10.1007/JHEP01(2020)175Conformal Field TheoryAdS-CFT CorrespondenceConformal and W Symmetry |
| spellingShingle | Jonah Kudler-Flam Laimei Nie Shinsei Ryu Conformal field theory and the web of quantum chaos diagnostics Journal of High Energy Physics Conformal Field Theory AdS-CFT Correspondence Conformal and W Symmetry |
| title | Conformal field theory and the web of quantum chaos diagnostics |
| title_full | Conformal field theory and the web of quantum chaos diagnostics |
| title_fullStr | Conformal field theory and the web of quantum chaos diagnostics |
| title_full_unstemmed | Conformal field theory and the web of quantum chaos diagnostics |
| title_short | Conformal field theory and the web of quantum chaos diagnostics |
| title_sort | conformal field theory and the web of quantum chaos diagnostics |
| topic | Conformal Field Theory AdS-CFT Correspondence Conformal and W Symmetry |
| url | https://doi.org/10.1007/JHEP01(2020)175 |
| work_keys_str_mv | AT jonahkudlerflam conformalfieldtheoryandthewebofquantumchaosdiagnostics AT laimeinie conformalfieldtheoryandthewebofquantumchaosdiagnostics AT shinseiryu conformalfieldtheoryandthewebofquantumchaosdiagnostics |