Spinning constraints on chaotic large c CFTs

A bstract We study out-of-time ordered four-point functions in two dimensional conformal field theories by suitably analytically continuing the Euclidean correlator. For large central charge theories with a sparse spectrum, chaotic dynamics is revealed in an exponential decay; this is seen directly...

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Bibliographic Details
Published in:The journal of high energy physics 2019-03, Vol.2019 (3), p.1-42, Article 68
Main Authors: Chang, Chi-Ming, Ramirez, David M., Rangamani, Mukund
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
Chaos theory
Classical and Quantum Gravitation
Conformal Field Theory
Correlation analysis
Elementary Particles
Euclidean geometry
High energy physics
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Two dimensional analysis
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Summary:A bstract We study out-of-time ordered four-point functions in two dimensional conformal field theories by suitably analytically continuing the Euclidean correlator. For large central charge theories with a sparse spectrum, chaotic dynamics is revealed in an exponential decay; this is seen directly in the contribution of the vacuum block to the correlation function. However, contributions from individual non-vacuum blocks with large spin and small twist dominate over the vacuum block. We argue, based on holographic intuition, that suitable summations over such intermediate states in the block decomposition of the correlator should be sub-dominant, and attempt to use this criterion to constrain the OPE data with partial success. Along the way we also discuss the relation between the spinning Virasoro blocks and the on-shell worldline action of spinning particles in an asymptotically AdS spacetime.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP03(2019)068